177 questions · Difficulty 1/3
1.A car runs first 275 km at an average speed of 50 km/h and the next 315 km at an average speed of 70 km/h. What is the average speed (in km/h) for the entire journey?
2. The ratio of the speeds of two trains is 2:7. If the first train runs 250 km in 5 hours, then the sum of the speeds (in km/h) of both the trains is:
3.A and B started their journeys from X to Y and Y to X, respectively. After crossing each other, A and B completed remaining parts of their journeys in 6 1/8 hours and 8 hours, respectively. If the speed of A is 32 km/h, then the speed, in km/h, of B is:
4. A journey of 900 km is completed in 11 h. If two-fifth of the journey is completed at the speed of 60 km/h, at what speed (in km/h) is the remaining journey completed?
5.A train covers a distance of 225 km in 2 1/2 hours with a uniform speed. The time taken, in hours, to cover a distance of 450 km with the same speed is:
6.A train covers a distance of 225 km in 2 1/2 hours at a uniform speed. The time taken by the train (in hours) to cover a distance of 630 km at the same speed is:
7.A person travels 5x distance at a speed of 5 km/h, x distance at a speed of 5 km/h, and 4x distance at a speed of 6 km/h and takes a total of 112 minutes. What is the total distance (in km) travelled by the person?
8.Shyam drives his car 30 km at a speed of 45 km/h and, for the next 1 h 20 m, he drives it at a speed of 51 km/h. Find his average speed (in km/h) for the entire journey.
9. A railway engine passes two bridges of length 400 m and 235 m in 100 seconds and 60 seconds, respectively. Twice the length of the railway engine (in m) is:
10.A takes 3 hours more than B to walk ‘d’ km. If A doubles his speed, then he can make it in 1 hour less than B. How much time (in hours) does A require to walk 'd'? km?
11. A car covers a distance of 90 km in 50 min. What is its speed (in m/s)?
12. Akhil rides first 12 km at a speed of 16 km/h and further 6 km at a speed of 20 km/h. Find his average speed (in km/h).
13.Ram travelled from a place Z to P at an average speed of 130 km/h. He travelled the first 75% of the distance in two third of the time and the rest at an average speed of X km/h. The value of x/2 is:
14.If Raman drives his bike at a speed of 24 km/ h, he reaches his office 5 minutes late. If he drives at a speed of 30 km/h, he reaches his office 4 minutes early. How much time (in minutes) will he take to reach his office at a speed of 27 km/h?
15. The distance between two towns is covered in 7 hours at a speed of 50 km/h. By how much should the speed (in km/h) be increased so that 2 hours of travelling time will be saved?
16. The distance between two stations A and B is 200 km. A train runs from A to B at a speed of 75 km/h, while another train runs from B to A at a speed of 85 km/h. What will be the distance between the two trains (in km) 3 minutes before they meet?
17. Two trains are running on parallel tracks in the same direction at the speed of 80 km/h and 90 km/h, respectively. The trains crossed each other in 3 minutes. If the length of one train is 230 m, then what is the length (in m) of the other train?
18.A 240 m long train crosses a 360 m long tunnel in 30 seconds. What is the speed of the train (in km/h)?
19.A and B run on a circular path of perimeter 1200 m at different speeds. If they start at the same time and from the same place, but run in opposite directions, they meet for the first time in 3 minutes. If the speed of B is 10.8 km/hr, then what is the speed (in km/h) of A.?
20.The lengths of two trains are 380 m and 220 m. The faster of these two trains takes 20 seconds to overtake the other, when travelling in same direction. The trains take 12 seconds to cross each other, when travelling in opposite directions. What is the speed (in km/h) of the faster train?
21.Trains P and Q are running in the same direction on parallel tracks with speeds of x km/h and 90 km/ h (90 > x), respectively. The faster train passes a man sitting in the slower train in 30 seconds. If the length of train Q is 225 m, then what is the value of x ?
22.A train takes 1 hour 20 minutes to travel between two stations P and Q. If it travels at 2/7 of its usual speed, how long will it take to travel between P and Q ?
23. A car and a bus were travelling in the same direction. At 7:30 am. the car travelling at a speed of 72 km/h was 4.2 km behind the bus. At 8:15 a.m. the car was 15.8 km ahead of the bus. What is the ratio of the speed of the car to the speed of the bus?
24. A covered a distance of 240 km at a certain speed. Had his speed been 8 km/h less, then the time taken would have been one hour more for covering the same distance. How much time (in hours) will he take to cover a distance of 480 km at his original speed?
25.The ratio of the distance between two places A and B to the distance between places B and C is 3 : 5. A man travels from A to B at a speed of x km/h and from B to C at a speed of 50 km/h. If his average speed for the entire journey is 40 km/h, then what is the value of (x – 10) : (x + 1)?
26. A student goes to school at a speed of 5 1/2 km/h and returns at a speed of 4 km/h. If he takes 4 3/4 hours for the entire journey, then the total distance covered by the student (in km) is:
27.The driver of a car, which is travelling at a speed of 75 km/h, locates a bus 80 m ahead of him, travelling in the same direction. After 15 seconds, he finds that the bus is 40 m behind the car. What is the speed of the bus (in km/h)?
28.The distance between two places A and B is 140 km. Two cars x and y start simultaneously from A and B, respectively. If they move in the same direction, they meet after 7 hours. If they move towards each other, they meet after one hour. What is the speed (in km/h) of car y if its speed is more than that of car x?
29. X and Y travel a distance of 90 km each such that the speed of Y is greater than that of X. The sum of their speeds is 100 km/h and the total time taken by both is 3 hours 45 minutes. The ratio of the speed of X to that of Y is:
30.A 240 m long train overtakes a man walking at 6 km/h, in the same direction, in 9 seconds. How much time (in seconds) will it take to pass a 372 m long tunnel with the same speed?
31.A train running at 40 1/2km\h takes 24 second to cross a pole. How much time (in second) will it take to pass a 450 m long bridge?
32.A train is to cover 370 Km at a uniform speed. After running 100 km, the train could run at a speed 5 Km\h less than its normal speed due to some technical fault. The train got delayed by 36 minutes. What is the normal speed of the train, in km\h?
33. A train runs first 75 km at a certain uniform speed and next 90 km at an average speed of 10 km/h more than the normal speed. If it takes 3 hours to complete the journey, then how time will the train take to cover 300 km with normal speed?
34.A train leaves station A at 8 am and reaches station B at 12 noon. A car leaves station B at 8:30 am and reaches station A at the same time when the train reaches station B. At what time do they meet?
35.A takes 8 hours more than the time taken by B to cover a distance of 160 km. If A doubles his speed, he takes 3 hours more than B to cover the same distance. The speed (in km/h) of B is:
36. A train running at 72 km/h crosses a pole in 12 seconds. How much time (in seconds) will it take to cross a bridge 360 m long?
37. Akhil takes 30 minutes extra to cover a distance of 150 km if he drives 10 km/h slower than his usual speed. How much time will he take to drive 90 km if he drives 15 km per hour slower than his usual speed?
38. Suman travels from place X to Y and Rekha travels from Y to X, simultaneously. After meeting on the way. Suman and Rekha reach Y and X, in 3 hours 12 minutes and 1 hour 48 minutes, respectively. If the speed of Rekha is 9 km/h. then the speed (in km/h) of Suman is:
39. If a train runs with the speed of 72 km/h., it reaches its destination late by 15 minutes. However, if its speed is 90 km/h, it is late by only 5 minutes. The correct time to cover its journey is minutes is:
40.A takes 2 hours more than B to cover a distance of 40 km. If A doubles his speed, he 1 1/2hour more than B to cover 80 km. To cover a distance of 120 km, how much time (in hours) will B take travelling at his same speed?
41.A car can cover a distance of 144 km in 1.8 hours. In what time (in hours) will it cover double the distance when its speed is increased by 20%?
42.A train running at 48 km/h crosses a man going with the speed of 12 km/h, in the same direction, in 18 seconds and passes a woman coming from the opposite direction in 12 seconds. The speed (in km/h) of the woman is:
43. A train covers 450 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less to cover the same distance. How much time will it take to cover 315 km at its usual speed?
44.Places A and B are 45 km apart from each other. A car starts from place A and another car starts from place B at the same time. If they move in the same direction, they meet in 4 and a half hour and if they move towards each other, they meet in 27 minutes. What is the speed (in km/h) of the car which moves faster?
45.One-fifth of a journey is covered at a speed of 30 km/h, one-fourth of the journey at a speed of 25 km/h and the rest at 60 km/h. What is the average speed (in km/h, correct to one decimal place) for the whole journey?
46.A train starts running at a uniform speed of 60 km/h from station P towards station Q. At the same time another train starts running from station Q towards station P. If the distance between the stations P and Q is 275 km and the trains meet in two and a half hours, then what is the speed of the train running towards station P in km/h?
47.X and Y start at the same time to ride from place A to place B, which is 80 km away from A. X travels 4 km per hour slower than Y. Y reaches place B and at once turns back meeting X, 16 km from place B. Y's speed (in km/h) is:
48.The speed ofa train is 78 km/h. It crosses a tunnel in 45s and overtakes a person walking at a speed of 6 km/h, in the same direction, in 15 s. The length (in m) of the tunnel is:
49.A train travels at a speed of 66 km/h and halts at five junctions for a certain time. It covers a distance of 1485 km in one day. For how long (in minutes) does the train stop at each junction, if it halts for the same period of time at all the junctions?
50.During his morning walk, Atul walks for 45 minutes at a speed of 8 km/h and takes 15 rounds of a park. Shekhar takes 10 rounds of the same park in 40 minutes. What is the speed of Shekhar in km/h?
51.A train is running at a speed of 99 km/h. If the train is 565 m long, then what will be the time (in seconds) taken by it to cross a 975 m long tunnle?
52.Mohan takes 2 hours more than Kishore to walk 63 km. If Mohan increases his speed by 50%, then he can make it in 1 hour less than Kishore. How much time does Kishore take to walk 63 km?
53.Dimple is travelling at a speed of 90 km per hour on a highway, while Sachin is travelling at a speed of 108 kim per hour. What is the difference in their speeds, in metres per second?
54.The speed of a car is 40% more than that of a bus. A train covers 1020 km in 8 1/2 hours. How much distance will the car cover in 1 3/4hours if the speed of the bus is half the speed of the train?
55. Two tains X and Y of lengths 450 meters and 550 meters, respectively, are running in the same direction on parallel tracks. If the speeds of X and Y are 58 km/h and 86 km/h, respectively, then what will be the time taken by them to cross each other? (correct to one decimal place)
56.With a speed of 48 km/h, Raghu is able to complete his journey in 2 hours 28 minutes. If he wants to cover the same distance in 1 hour 36 minutes, then what should be his new speed?
57. A man covers 5/12 of a total journey by train, 7/18 of the journey by bus and the remaining 7 km on foot. His total journey (in km) is:
58. A bus covered 360 km in 6 hours. If it travels at one-fourth of its usual speed, then how much more time will it take to cover the same distance?
59. Ajit Singh left from place P at 9.30 a.m. for place Q, and David Raj left place Q at 1.30 p.m. for place P. The distance between them is 416 km. If Ajit Singh’s speed is 44 km/h and David Raj’s speed is 52 km/h, then at what time will they meet each other?
60. Pawan travels from X to Y at the speed of 10 km/h, from Y to Z at 15 km/h and from Z to W at 20 km/h. If XY = YZ = ZW (in km), then the average speed of Pawan for the whole journey is:
61.A car covers a distance of 48 km at a speed of 40 km/h and another 52 km with a speed of 65 km/h. What is the average speed of the car (in km/h) for the total distance covered?
62.Two trains start at the same time from two stations and proceed towards each other at speeds of 90 km/h and 70 km/h, respectively. When they meet, it is found that one train has travelled 140 km more than the other. What is the distance (in km) between the two stations?
63.A truck covers a distance of 480 km at a certain speed. If the speed is decreased by 8 km/h, it would have taken 2 hours more to cover the same distance. 50% of its original speed (in km/h) is:
64.A train, 500 m long, passes a railway platform 400 m long, in one minute with uniform speed. What is the time (in seconds) taken by the train to pass a man riding a motorbike, travelling opposite to the direction of the train, at a speed of 18 km/h?
65.A car takes 50 minutes to cover a certain distance at a speed of 54 km/h. If the speed is increased by 25%, then how long will it take to cover three-fourth of the same distance?
66. Ashok completes a journey in 7 hours. He travels the first half of the journey at the speed of 24 km/h and the second half of it at the speed of 32 km/h. The total distance of the journey is:
67. Tain A takes 1 4/5h more than the time taken by train B to cover a distance of 360 km. If the speed of train A doubles, it will take 36 min less than the time taken by train B to travel the same distance. What is the speed (in km/h) of train B?
68. A person moved from place A for place B at 2 p.m. at a speed of 4.5 km/h, stayed at place B for 1.5 hours and returned to place A at a speed of 6 km/h. He came back to place A at 7 p.m. What is the distance between places A and B (in km)?
69. Two persons P and Q are 844 m apart. They both start cycling simultaneously in the same direction with speeds of 12 m/s and 8 m/s, respectively. In how much time will P overtake Q?
70.Vaibhav and Vignesh each travel a distance of 78 km such that the speed of Vaibhav is faster than that of Vignesh. The sum of their speeds is 91 km/h and the total time taken by both is 3 hours and 30 minutes. The speed of Vaibhav is:
71.A man cycles from P to Q, a distance of 30km, in 2 hours 48 minutes. The road from P is a level road for 18km. and then it is uphill to Q. The man's average speed on the level road is 15km/h. What is his average uphill speed (in km/h)?
72.If a person travels at a speed of 48km/h, he will reasch his destination on time. He covers two-thirds of his journey in five-sixths of time. At what speed (in km/h) should he travel to cover the remaining distance to reach his destination on time?
73.Two cars X and Y start running towards each other from two places 216 km apart. The ratio of the speeds of X and Y is 5 : 7 and the speed of X is 60km/h. After how many minutes will X and Y meet each other?
74. Trains A and B of lengths 329m and 296m, respectively, are running in opposite directions on parallel tracks, at the speeds of 85km/h and 65km/h, respectively. In what time (in seconds) will they cross each other?
75. A man walking at a rate of 4km/h crossed a tunnel in 18 minutes. What is the length of the tunnel in meters?
76. A lady walks to her office every day from home and maintains a fixed time for the same. On one day she decreases her speed by 25%. By what fraction of her usual time will she be late on that day?
77. P and Q are two towns. A man drives from P to Q at an average speed of 50 km/h. He stops at Q for 4 hours and then heads back to P at an average speed of 40 km/h following the same route. What is his average speed (in km/ h correct to two decimal places) if he takes 22 hours for the entire trip?
78.A girl cycles from A to B, a distance of 25 km in 2 hours 20 minutes. The road from A is a levelled road for 15 km and then it slopes down to B. The average speed of the girl on the levelled road is 10 km/h. Her average downhill speed (in km/h) is:
79.A train travels for 5 1/2hours, the first half of the distance at 60 km/h and the other half at 20 m/sec. The total distance (in km) travelled is:
80. When a person travels at a speed of 8 1/3m/sec, he will reach his destination on time. He covers 2/3 of the journey in 5/8 of the time. At what speed (in km/h) should he travel to cover the remaining distance to reach the destination on time?
81.The speed of wind during a storm is 105 mm per sec. How long (in seconds) will it take a dust particle suspended in air to travel 1 km?
82.How much time (in seconds) does the earth take to rotate through an angle of 135 degrees about its axis?
83. The speed of a bus without stoppages is 40 km/h and with stoppages is 32 km/h. How many minutes per hour does the bus stop?
84.Ramesh drives from his home at a speed of 40 km/h and reaches his college 25 minutes late. The next day he increases his speed by 10 km/ h, yet he is late by 10 minutes. How far is his college from his home?
85.A thief was spotted by a policeman from a distance of 225 metres. When the policeman started the chase, the thief also started running. If the speed of the thief was 11 km/h and that of the policeman was 13 km/h, how far would the thief have run, before the policeman caught up with him?
86.Rakesh runs 4/3 times as fast as Mukesh. In a race, if Rakesh gives a lead of 60 m to Mukesh, find the distance from the starting point where both of them will meet.
87. 232 m The time taken by a 180 m long train running at a speed of 54 km/h to cross a man standing on the platform is:
88.A man completes a journey in ten hours.He travels at a speed of 21 km/h for the first half of the journey and at a speed of 24 km/h for the second half. Calculate the total distance travelled (in kilometres).
89.Two trains each 200m long are moving in opposite directions. They cross each other in 10 seconds. If the speed of one train is 90km/h, find the speed of the other train.
90.The distance travelled by a person varies directly with the duration of the journey. If the person travels 378 km in 7 hours, in how many hours will the person cover 918 km?
91. The speed of a train is 108 km/h. The distance covered by the train in 11 seconds will be:
92. A bus goes to Mumbai from Delhi at the speed of 60 km/h for 60% of the journey, and covers the remaining part of its journey at the speed of 70 km/h. What is the average speed of the bus (in km/h) during the entire journey under consideration?
93. Ram is travelling at a speed of 72 km per hour while Shyam is travelling at a speed of 90 km per hour. What is the difference in their speeds (in metres per second)?
94. Suraj travels 124 km at a speed of 31 km/h by bus, 96 km at a speed of 16 km/h using a car, and another 105 km at 7 km/h by car. Find his average speed for the entire distance travelled.
95.A thief is noticed by a policeman from a distance of 650 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 8 km and 10.5 km per hour, respectively. The distance (in metres) between them after 12 minutes is:
96. The average speed of a train running at a speed of 30 km/h during the first 100 km, at the speed of 40 km/h during the second 100 km and at the speed of 50 km/h during the last 100 km is nearly _______.
97.A car covers a certain distance travelling at a speed of 60 km/h and returns to the starting point at a speed of 40 km/h. The average speed of the car for the entire journey is:
98. With an average speed of 42 km/h, a train reaches its destination in time. If it moves with an average speed of 14 km/h, it is late by 35 minutes. The length of the journey is:
99. train covers the distance between two stations X and Y in 6 hours. If the speed of the train is reduced by 13 km/h, then it travels the same distance in 9 hours. Find the distance between the two stations
100.Two trains leave Agra for Calcutta at 9:00 a.m. and 9:30 a.m., respectively, and travel at 240 km/h and 300 km/h, respectively. How many kilometres from Agra will the two trains meet?
101.A man travelled by car from cityA to city B at a speed of 24 km/h and returned from city B to cityA at 16 km/h. Find his average speed over the whole journey.
102. Malay walks around a circular field at the rate of 7 rounds per hour,while Neha runs around it at the rate of 11 rounds per hour. They start in the same direction from the same point at 02:45 p.m. They shall first cross each other at:
103.A train crosses a 400 m-long platform in 50 seconds. It crosses another 600 m-long platform in 60 seconds. What are the length and the speed of the train
104.Sunila drove her car at an average speed of 45 km/h for the first 75 km of a trip, and then at an average speed of 70 km/h for the remaining 45 km of the trip. If she made no stops during the trip, what was Sunila’s average speed (in km/h) for the entire trip?
105.A thief is spotted by a policeman from a distance of 480 m. When the policeman starts the chase, the thief also starts running. If the speed of the thief is 19 km/h and that of the policeman is 23 km/h, then how far would the thief have to run before he is overtaken?
106.Roshni travelled at the speed of 66 km/h while going from point A to point B and returned via the same route at the speed of 92.4 km/h. What was Roshni’s overall average speed during the two-way journey?
107.A man rides his bicycle for 10 kilometres at a speed of 12 kilometres per hour, then for another 12 kilometres at a speed of 10 kilometres per hour. What is his average speed for the entire trip approximately?
108.Priya covers a certain distance by her car at a speed of 21 km/h and returns at a speed of 17 km/h. What is her average speed during the travel?
109.A motorcycle covers 50 km at a speed of 25 km/h. Find the speed of the motorcycle for the next 50 km of the journey so that the average speed of the whole journey will be 30 km/h.
110. Ali and Badal start from the same position and at the same time in a 1200 m circular race, with speeds of 27 km/h and 45 km/h, respectively. Find after how much time they will meet again on the track for the first time when they are both running in the same direction.
111.Shyamal covers 1 km in 10 min, whereas Radha covers the same distance in 8 min. By what distance does Radha beat Shyamal?
112. In a circular race of 2500 m, a man and a woman start from a point towards opposite directions with speeds of 37 km/h and 35 km/h, respectively. After how much time from the start of the race will they meet for the first time?
113.Ruksana travelled at 60 km/h while going from point A to point B, and returned via the same route at a different speed. If Ruksana’s overall average speed during the two-way journey was 48 km/h, what was her speed while travelling from B to A?
114.What distance will be covered by a bus moving at 108 km/h in 40 seconds?
115.A man runs 200 metres in 24 seconds. His speed is:
116.While travelling from Nashik to Daman, Harsh drove for 1 hour at a speed of 50 km/h and for the next three hours at 60 km/h. What was his average speed for the whole trip?
117.The ratio of the distances Ravina and Suhel had to travel from their respective houses to their workplaces was 4 : 7. If Suhel had to travel 63 km, how much did Ravina have to travel?
118.Four runners started running simultaneously from a point on a circular track. They took 400 seconds, 600 seconds, 720 seconds and 900 seconds to complete one round. After how much time did they meet at the starting point for the first time since the race started?
119.In a1500-m race, if A beats B by 100 m and B beats C by 150 m, then by what distance (in m) does A beat C?
120.With an average speed of 60 km/h, a train reaches its destination on time. If it goes with an average speed of 45 km/h, it is late by 20 minutes. The distance covered by the train is ________.
121.A person runs at an average speed of 20 km/h for 30 minutes and cycles at a speed of 32 km/ h for 1 hour 15 minutes. Calculate the average speed (in km/h, rounded off to 1 decimal place).
122.A train running at the speed of 63 km/h crosses a pole in 24 seconds. What is the length of the train?
123.A girl travels 30 km at a speed of 15 km/h. She travels another 20 km at a speed of 10 km/h. What is her average speed for the entire journey?
124.A train takes 3 hours to travel from place A to B at the speed of 60 km/h. The same train takes 2 hours to travel from B to C at 50% increased speed. What is the average speed of the train from place A to C?
125.A 640 metre long train travelling at 80 km/h overtook a 540 metre long train travelling at 72 km/h in the same direction. How long did it take the faster train to cross the other train completely?
126. A bus covers a certain distance travelling at a speed of 40 km/h and returns to the starting point at a speed of 60 km/h. The average speed (in km/h) for the entire journey is:
127.Rani covers a distance of 475 m in a minute. How much distance would Rani have covered in an hour if she travelled at 1.2 times of her current speed?
128.An athlete crosses a distance of 3600 m in 12 minutes. What is his speed (in km/h)?
129.A car travelled distances of 10 km, 20 km and 30 km at speeds of 30 km/h, 40 km/h and 60 km/h, respectively. The average speed of the car is:
130.The distance between stations A and B is 778 kilometres. A train travels from station A to station B at a uniform speed of 84 km/h and then returns to station A at a uniform speed of 56 km/h. What is the train’s average speed (in km/h) throughout the journey?
131.Two trains having lengths of 230 m and 240 m are 130 m apart. They start moving towards each other on parallel tracks, at speeds of 160 km/h and 200 km/h, respectively. In how much time will the trains cross each other?
132.A ship sails out to a mark at the speed of 15 km/h and sails back to the starting point at the speed of 10 km/h. The average speed of sailing of the ship is:
133. Three cities, A, B, and C are located such that they form the vertices of an equilateral triangle if joined by straight lines. Rashid travels from A to B at the speed of 40 km/h, from B to C at the speed of 60 km/h and from C to A at the speed of 72 km/h. Find the average speed of Rashid for the entire journey.
134. In a trip, Ram covers a distance of 200 feet in 10 hours. First he started his journey by bike at a speed of 15 km/h, after that his bike got damaged and he completed the rest of the journey in his friend's car at a speed of 25 km/ h. The ratio of distances covered by bike and car is _______.
135. In a 1200 m race, the ratio of the speeds of two contestants Meenal and Nitu is 5 : 7. If Meenal has a start of 500 m, then Meenal wins by:
136.Riya runs 3/2 times as fast as Prerna. In a race, if Riya gives a lead of 100 m to Prerna, find the distance Riya has to run before both of them meet.
137.Gopal travels from A to B at the speed of 5km/h, from B to C at 10 km/h, and from C to D at 15 km/h.If AB = BC = CD, then find Gopal’s average speed.
138.The average of a car is 1 3/5 times the average of a bus. A tractor covers 1150 km in 23 hours. How much distance will the car cover in 4 hours if the speed of the bus is twice the speed of the tractor?
139.Anjali and Babita are running on a circular track in opposite directions from same time at same point with speeds of 8 m/sec and 6 m/sec, respectively. If the length of the circular track is 960 m, how many times distinct points they will meet?
140.For the first part of her journey,Sunita travelled at a speed of 450 m/min and,for the rest of the journey, at a speed 1.4 times of her initial speed. If Sunita travelled a total distance of 33.3 km in 1hour, what was the distance that Sunita travelled at a lower speed?
141. ‘A’ and ‘B’ are two stations 494 km apart. A train starts from station ‘A’ at 3 p.m. and travels towards station ‘B’ at 83 km/h. Another train starts from station ‘B’ at4 p.m. and travels towards station ‘A’ at 54 km/h. At what time do they meet?
142.After seeing a policeman from a distance of 500 m, a thief starts running at a speed of 10 km/h. After noticing, the policeman chases immediately with a speed of 12 km/h, and the thief is caught. The distance run by the policeman is:
143.Ravi drove for 4 hours at a speed of 70 miles per hour and for 2 hours at 40 miles per hour. What was his average speed (in miles per hour) for the whole journey?
144. A girl travels 30 km at a speed of 15 km/h. She travels another 20 km at a speed of 10 km/h. What is her average speed for the entire journey?
145.What distance will be covered by a bus moving at 108 km/h in 40 seconds?
146.Acan beat B ina 100-metre race by 10 metres. B can beat C in a 100-metre race by 10 metres. What is the ratio (tA : tB : tC), which are the respective times taken by A, B and C to complete the race?
147.Aman goes from A to B at a speed of 40 km/h. Using the same route, he comes back from B to A, at a speed of 55 km/h. What is his approximate average speed for the whole journey?
148.A 750 metres long train crosses a stationary pole in 15 sec. Travelling at the same speed, this train crosses a bridge completely in 25 sec. What is the length of this bridge?
149.Punit goes from his home to his relative’s place at a speed of 45 km/h. While returning from the relative’s place, due to traffic, it takes him an hour longer as he can only drive at the speed of 40 kim/h. Find the distance (in km) of his relative’s place from his home.
150. A person goes from P to Q in 8 hours. He starts from P at 8 a.m. Another person goes from Q to P in 12 hours. He starts from Q at 9 a.m. At what time will they meet?
151.A thief escapes from a police station at 8:00 a.m. on a cycle at a speed of 50 km/h. A policeman starts chasing the thief on a motorbike at 9 : 30 a.m. at the speed of 65 km/ h. At what distance from the police station will the policeman catch up with the thief?
152.A and B leave from point M at the same time towards point N. B reaches N and starts towards M instantly. He meets A at point O (between M and N). The distance between M and N is 245 km. If the speeds of A and B are 26 km/h and 65 km/h, respectively, then what is the distance between O and N?
153.Vinay and Mahesh are 250 metres apart from each other. They are moving towards each other with the speed of 36 km/hr and 54 km/hr respectively. In how much time will they meet each other?
154.Two trains whose lengths are 450 metres and 300 metres are moving towards each other at the speed of 162 km/hr and 108 km/hr respectively. If distance between trains is 300 metres, then in how much time, these trains will cross each other?
155.A bus covered a distance of 162 km. If speed of this bus is 15 m/s, then what will be the time taken?
156.Length of a train is 330 metres and it is moving at the speed of 72 km/hr. In how much time will it takes cross a platform of length 710 metres?
157. A thief was noticed by a policeman from a distance of 80 metres. The speed of the thief is 21 km/h and the policeman is 20 km/h. What is the distance between them after 18 seconds?
158.A police officer sees a thief from 200 metres. The thief flees, and the police officer pursues him. The thief and the officer are both running at 10 km/h and 11 km/h, respectively. At what distance will the officer apprehend the thief?
159. In a 1400 m race John reaches the finish point in 1 min 6 sec, while James reaches the finish point in 77 sec. By how much distance does John beat James?
160. A journey of 180 km takes 6 hours more when the speed of a bike is reduced by 8 km/h. What is the original speed of the bike?
161.A car travels from Lucknow to Kanpur with a speed of 65 km/h and comes back with a speed of 60 km/h. If the distance between Lucknow and Kanpur is 80 km, then what is the average speed of the car during the whole journey?
162.A car travels from P to Q at the speed of 45 km/h and from Q to R at 65 km/h . If the distance from P to R is 60 km and the distance from Q to R is 100 km, what is the average speed of the car during the whole journey (corrected to two decimal places)?
163.A train takes 14 seconds to cross a pole while it takes 50 seconds to cross a stationary train 500 m long. Find the speed of the train which is correct to two decimal places.
164. A bus during its journey travels 60 min at a speed of 80 km/h, another 90 min at a speed of 100 km/h and 4 hours at a certain speed. If the average speed of the bus during its whole journey is 70 km/h, what is the speed of the bus during the 4 hours?
165.Joy and Kat run around a circular track of length 1100 m in opposite directions with initial speed of 6 m/sec and 4 m/sec, respectively. Starting from the same point whenever they meet, Joy's speed halves and Kat's speed doubles. After how much time from the beginning will they meet for the second time?
166.A train x running at 74 km/h crosses another train y running at 52 km/h in the opposite direction in 12 seconds. If the length of y is two-thirds that of x , then what is the length of x (in m)?
167.A takes 2 hours 30 minutes more than B to walk 40 km. If A doubles his speed, then he can make it in 1 hour less than B. How much time (in hours) does A require for walking a 40 km distance?
168.A person travels a distance of 300 km and then returns to the starting point. The time taken by him for the outward journey is 5 hours more than the time taken for the return journey. If he returns at a speed of 10 km/h more than the speed of going, what is the average speed (in km/h) for the entire journey?
169. A bus covers a 50-kilometre distance in 1 hour 15 minutes, whereas the same distance is covered by a car in 45 minutes. What is the ratio of the speed of the bus to the speed of the car?
170.A bus covers a 60 kilometre distance in 1 hour 30 minutes, whereas the same distance is covered by a car in 45 minutes. What is the ratio of the speed of the car to the speed to the bus?
171.A person covers a distance of 300 km and then returns to the starting point. The time taken by him for the outward journey is 5 hours more than the time taken for the return journey. If he returned at a speed of 10 km/h more than the speed of going, what was the speed (in km/h) for the outward journey?
172. A train travelling at the speed of x km/h crossed a 300 m long platform in 30 seconds, and overtook a man walking in the same direction at 6 km/h in 20 seconds. What is the value of x?
173.A boy increases his speed to 9/5 times of his original speed. By doing this, he reaches his school 40 minutes before the usual time. How much time (in minutes) does he take usually?
174.A takes 2 hours 30 minutes more than B to walk 40 km. If A doubles his speed, then he can make it in 1 hour less than B. What is the average time taken by A and B to walks a 40 km distance?
175.A train x running at 74 km/h crosses another train y running at 52 km/h in the opposite direction in 12 seconds. If the length of y is two-thirds that of x, then what is the length of y (in m)?
176.The speed of a boat in still water is 15 km/h, and the speed of the current is 5 km/h. In how much time (in hours) will the boat travel a distance of 60 km upstream and the same distance downstream?
177. A train covers 400 km at a uniform speed. If the speed had been 10 km/h more, it would have taken 2 hours less for the same journey. What is the usual time taken (in hours) by it to complete the journey?