Time and Distance

1. A speed of 30.6 km/hr is the same as

A. 5.1 m/sec  

B. 8.5 m/sec  

C. 110.16 m/sec  

D. None of these 

 
Correct Answer : B
2. A man riding his bicycle covers 150 metres in 25 seconds. What is his speed in km per hour?

A. 20  

B. 21.6  

C. 23  

D. 25 

 
Correct Answer : B
3. A bus covers a distance of 2924 km in 43 hours. What is the speed of the bus?

A. 60 km/hr  

B. 68 km/hr  

C. 72 km/hr  

D. Cannot be determined 

 
Correct Answer : B
4. A is travelling at 72 km per hour on a highway while B is travelling at a speed of 25 metres per second. What is the difference in their speeds in metres per second?

A. 1.5 m/sec  

B. 2 m/sec  

C. 3 m/sec  

D. 5 m/sec 

 
Correct Answer : D
5. A motorist travelled between two towns, which are 65 km apart, in 2 hours and 10 minutes. Find the speed in metres per minute.

A. 200  

B. 500  

C. 600  

D. 700 

 
Correct Answer : B
6. In track meets both 100 yards and 100 metres are used as distances. By how many metres is 100 metres longer than 100 yards?

A. 0.0856 m  

B. 0.856 m  

C. 1 m  

D. 8.56 m 

 
Correct Answer : D
7. Which of the following trains is the fastest?

A. 25 m/s  

B. 1500 m/min  

C. 90 km/hr  

D. All are same 

 
Correct Answer : D
8. A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

A. 3.6  

B. 7.2  

C. 8.4  

D. 10 

 
Correct Answer : B
9. A car covers a distance of 432 km at the speed of 48 km/hr. In how many hours will the car cover this distance?

A. 6 hrs  

B. 7 hrs  

C. 9 hrs  

D. 12 hrs 

 
Correct Answer : C
10. A man covered a distance of 180 km in 4 hours on a bike. How much distance will be cover on a bicycle in 8 hours if he rides the bicycle at one-sixth the speed of the bike?

A. 54 km  

B. 60 km  

C. 72 km  

D. 84 km 

 
Correct Answer : B
11. The ratio of the speeds of a car, a train and a bus is 5 : 9 : 4. The average speed of the car, the bus and the train is 72 km/hr. What is the average speed of the car and the train together?

A. 78 km/hr  

B. 82 km/hr  

C. 84 km/hr  

D. Cannot be determined 

 
Correct Answer : C
12. Car A travels at the speed of 65 km/hr and reaches its destination in 8 hours. Car B travels at the speed of 70 km/hr and reaches its destination in 4 hours. What is the ratio of the distance covered by car A and car B respectively?

A. 7:11  

B. 13:07  

C. 7:13  

D. 11:07 

 
Correct Answer : B
13. The average speed of a bus is one-third of the speed of a train. The train covers 1125km in 15 hours. How much distance will the bus cover in 36 minutes?

A. 12 km  

B. 18 km  

C. 21 km  

D. 75 km 

 
Correct Answer : E
14. The mileage of a motorbike A and a motorbike B is 42 km per litre and 52 km per litre respectively. Motorbike A covered 294 km and motorbike B covered 208 km. If the cost of 1 litre of petrol is t 48, how much amount would be spent on petrol to cover the

A. 480  

B. 528  

C. 576  

D. Cannot be determined 

 
Correct Answer : B
15. A train leaves Delhi at 4.10 P.M. and reaches Aligarh at 7.25 P.M. The average speed of the train is 40 km / hr. What is the distance from Delhi to Aligarh?

A. 120 km  

B. 130 km  

C. 135 km  

D. 140 km 

 
Correct Answer : B
16. A is 10 miles west of B. C is 30 miles north of B. D is 20 miles east of C. What is the distance from A to D?

A. 10 miles  

B. 30 miles  

C. 10√10 miles  

D. 10√13 miles 

 
Correct Answer : E
17. A plane flying north at 500 mph passes over a city at 12 noon. A plane flying east at the same altitude passes over the same city at 12 : 30 P.M. The plane is flying east at 400 mph. To the nearest hundred miles, how far apart are the two planes at 2 P.M.

A. 600 miles  

B. 1000 miles  

C. 1100 miles  

D. 1200 miles 

 
Correct Answer : D
18. A train travels at the speed of 65 km/hr and halts at 8 junctions for a certain time. It covers a distance of 1300 km in 1 day (24 hours). How long does the train stop at each junction, if it halts for the same period of time at all the junctions?

A. 20 min  

B. 30 min  

C. 40 min  

D. 60 min 

 
Correct Answer : B
19. Jane travelled 4/7 as many miles on foot as by water and 2/5 as many miles on horseback as by water. If she covered a total of 3036 miles, how many miles did she travel on foot?

A. 1540  

B. 880  

C. 756  

D. 616 

 
Correct Answer : B
20. A star is 8.1 x 10¹³ km away from the earth. Suppose light travels at the speed of 3.0 x 10µ km per second. How long will it take the light from the star to reach the earth?

A. 7.5 x 10³ hours  

B. 7.5 x 10´ hours  

C. 2.7 x 10¹° seconds  

D. 2.7 x 10¹¹ seconds 

 
Correct Answer : B
21. Akash leaves home for school which is 12 km from his house. After the school, he goes to his club which is 7 km from his school. If his house, school and club all fall in a line, then what is the minimum distance he has to travel to get back home?

A. 5 km  

B. 7 km  

C. 12 km  

D. 17 km 

 
Correct Answer : A
22. A train covers a distance of 193.33 km in 4.25 hours with one stoppage of 10 minutes, two of 5 minutes and one of 3 minutes on the way. The average speed of the train is

A. 48 km/hr  

B. 50 km/hr  

C. 55 km/hr  

D. 60 km/hr 

 
Correct Answer : B
23. Deepa rides her bike at an average speed of 30 km /hr and reaches her destination in 6 hours. Hema covers the same distance in 4 hours. If Deepa increases her average speed by 10 km / hr and Hema increases her average speed by 5 km /hr, what would be the

A. 40 min  

B. 45 min  

C. 54 min  

D. 1 hr 

 
Correct Answer : C
24. A monkey climbing up a pole ascends 6 metres and slips 3 metres in alternate minutes. If the pole is 60 metres high, how long will it take the monkey to reach the top?

A. 31 min  

B. 33 min  

C. 35 min  

D. 37 min 

 
Correct Answer : D
25. An aeroplane flies twice as fast as a train which covers 60 miles in 80 minutes. What distance will the aeroplane cover in 20 minutes?

A. 30 miles  

B. 35 miles  

C. 40 miles  

D. 50 miles 

 
Correct Answer : A
26. A boy is running at a speed of p kmph to cover a distance of 1 km. But, due to the slippery ground, his speed is reduced by q kmph { p > q ). If he takes r hours to cover the distance, then

A. 1/r = p - q  

B. r = p - q  

C. 1/r = p + q  

D. r = p + q 

 
Correct Answer : A
27. Ravi can walk a certain distance in 40 days when he rests 9 hours a day. How long will he take to walk twice the distance, twice as fast and rest twice as long each day?

A. 40 days  

B. 50 days  

C. 80 days  

D. 100 days 

 
Correct Answer : C
28. A car is driven at the speed of 100 km/hr and stops for 10 minutes at the end of every 150 km. To cover a distance of 1000 km, it will take

A. 9 hrs  

B. 10 hrs  

C. 11 hrs  

D. 12 hrs 

 
Correct Answer : C
29. A man takes 50 minutes to cover a certain distance at a speed of 6 km/hr. If he walks with a speed of 10 km/hr, he covers the same distance in

A. 10 min  

B. 20 min  

C. 30 min  

D. 40 min 

 
Correct Answer : C
30. A truck covers a distance of 550 metres in 1 minute whereas a bus covers a distance of 33 kms in 45 minutes. The ratio of their speeds is

A. 3:04  

B. 4:03  

C. 3:05  

D. 50:03:00 

 
Correct Answer : A
31. The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is

A. 70 km / hr  

B. 75 km / hr  

C. 84 km / hr  

D. 87.5 km / hr 

 
Correct Answer : D
32. A train travels at an average of 50 miles per hour for 2.5 hours and then travels at a speed of 70 miles per hour for 1.5 hours. How far did the train travel in the entire 4 hours?

A. 120 miles  

B. 150 miles  

C. 200 miles  

D. 230 miles 

 
Correct Answer : D
33. A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling?

A. 55 km/hr  

B. 57 km/hr  

C. 60 km/hr  

D. 63 km/hr 

 
Correct Answer : C
34. Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, 11/5 seconds after he sees it strike the tree. How far is the man from the wood chopper?

A. 2197 ft  

B. 2420 ft  

C. 2500 ft  

D. 2629 ft 

 
Correct Answer : B
35. An express train travelled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point?

A. 6 hrs 21 min  

B. 6 hrs 24 min  

C. 6 hrs 27 min  

D. 6 hrs 30 min 

 
Correct Answer : A
36. A certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, the ratio of the speed of the jogger to that of the cyclist is :

A. 1:02  

B. 2:01  

C. 1:04  

D. 4:01 

 
Correct Answer : C
37. A motor car starts with the speed of 70 km/hr with its speed increasing every two hours by 10 kmph. In how many hours will it cover 345 kms?

A. 2 hrs 15 min  

B. 4 hrs 5 min  

C. 4 hrs 30 min  

D. Cannot be determined 

 
Correct Answer : C
38. A bus moving at a speed of 24 m/s begins to slow at a rate of 3 m/s each second. How far does it go before stopping?

A. 48 m  

B. 60 m  

C. 72 m  

D. 96 m 

 
Correct Answer : D
39. A boy goes three equal distances, each of length x km, with a speed of y km/hr, 3y/5 km/hr and 2y/5 km/hr respectively. If the total time taken is 1 hour, then x : y is equal to

A. 6:13  

B. 6:23  

C. 6:31  

D. 6:37 

 
Correct Answer : C
40. A long distance runner runs 9 laps of a 400 metres track everyday. His timings (in min) for four consecutive days are 88, 96, 89 and 87 respectively. On an average, how many metres/minute does the runner cover?

A. 17.78  

B. 40  

C. 90  

D. None of these 

 
Correct Answer : B
41. An express train travelled at an average speed of 100 kmph, stopping for 3 minutes after 75 km. A local train travelled at a speed of 50 kmph, stopping for 1 minute after every 25 km. If the trains began travelling at the same time, how many kilometres di

A. 287.5 km  

B. 307.5 km  

C. 325 km  

D. 396 km 

 
Correct Answer : B
42. A car starts running with the initial speed of 40 kmph, with its speed increasing every hour by 5 kmph. How many hours will it take to cover a distance of 385 km?

A. 7 hrs  

B. 8.5 hrs  

C. 9 hrs  

D. 9.5 hrs 

 
Correct Answer : A
43. The speed of a car increases by 2 kms after every one hour. If the distance travelled in the first one hour was 35 kms, what was the total distance travelled in 12 hours?

A. 456 km  

B. 482 km  

C. 552 km  

D. 556 km 

 
Correct Answer : C
44. A bus started its journey from Ramgarh and reached Devgarh in 44 minutes at its average speed of 50 km /hr . If the average speed of the bus is increased by 5 km / hr, how much time will it take to cover the same distance?

A. 31 min  

B. 36 min  

C. 38 min  

D. 40 min 

 
Correct Answer : D
45. The speeds of three cars are in the ratio 2 : 3 : 4. The ratio of the times taken by these cars to travel the same distance is

A. 2:03:04  

B. 4:03:02  

C. 4:03:06  

D. 6:04:03 

 
Correct Answer : D
46. The speeds of A and B are in the ratio 3 : 4. A takes 20 minutes more than B to reach a destination. In what time does A reach the destination?

A. 1(1/3) hrs  

B. 1(2/3) hrs  

C. 2 hrs  

D. 2(2/3) hrs 

 
Correct Answer : A
47. The speed of electric train is 25% more than that of steam engine train. What is the time taken by an electric train to cover a distance which a steam engine takes 4 hours 25 minutes to cover?

A. 3(1/10) hrs  

B. 3(11/15) hrs  

C. 3(11/12) hrs  

D. 3(8/15) hrs 

 
Correct Answer : D
48. A takes 2 hours more than B to walk d km, but if A doubles his speed, then he can make it in 1 hour less than B. How much time does B require for walking d km?

A. d/2 hrs  

B. 3 hrs  

C. 4 hrs  

D. 2d/3 hrs 

 
Correct Answer : C
49. A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km /hr, the time taken by it to cover the same distance will be

A. 10 min  

B. 11 min 20 sec  

C. 13 min  

D. 13 min 20 sec 

 
Correct Answer : D
50. Anna left for city A from city B at 5.20 a.m. She travelled at the speed of 80 km / hr for 2 hours 15 minutes. After that the speed was reduced to 60 km / hr. If the distance between two cities is 350 kms, at what time did Anna reach city A?

A. 9.20 am  

B. 9.25 am  

C. 9.35 am  

D. 10.05 am 

 
Correct Answer : E
51. An aeroplane covers a certain distance at a speed of 240 kihph in 5 hours. To cover the same distance 2 in 1(2/3) hours, it must travel at a speed of

A. 300 kmph  

B. 360 kmph  

C. 600 kmph  

D. 720 kmph 

 
Correct Answer : D
52. A salesman travels a distance of 50 km in 2 hours and 30 minutes. How much faster, in kilometres per hour, on an average, must he travel to make such a trip in 5/6 hour less time?

A. 10  

B. 20  

C. 30  

D. None of these 

 
Correct Answer : A
53. A person has to cover a distance of 6 km in 45 minutes. If he covers one-half of the distance in two-thirds of the total time; to cover the remaining distance in the remaining time, his speed (in km / hr) must be

A. 6  

B. 8  

C. 12  

D. 15 

 
Correct Answer : C
54. A man performs 3/5 of the total journey by rail, 7/20 by bus and the remaining 6.5 km on foot. His total journey is

A. 65 km  

B. 100 km  

C. 120 km  

D. 130 km 

 
Correct Answer : D
55. A person wishes to reach his destination 90 km away in 3 hours but for the first half of the journey his speed was 20 km /hr. His average speed for the rest of the journey should be

A. 40 km/hr  

B. 0.75 km/hr  

C. 1 km/hr  

D. None of these 

 
Correct Answer : C
56. A train is scheduled to cover the distance between two stations 46 km apart in one hour. If it travels 25 km at a speed of 40 km / hr, find the speed for the remaining journey to complete it in the scheduled time.

A. 36 km/hr  

B. 46 km/hr  

C. 56 km/hr  

D. 66 km/hr 

 
Correct Answer : C
57. How long must a driver take to drive the final 70 miles of a trip if he wants to average 50 miles an hour for the entire trip and during the first part of the trip he drove 50 miles in 1.5 hours?

A. 54 min  

B. 1 hr  

C. 66 min  

D. 70 min 

 
Correct Answer : A
58. A can complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

A. 220 km  

B. 224 km  

C. 230 km  

D. 234 km 

 
Correct Answer : B
59. A motorcyclist completes a certain journey in 5 hours. He covers one-tirdrd distance at 60 km/hr and the rest at 80 km/hr. The length of the journey is

A. 180 km  

B. 240 km  

C. 300 km  

D. 360 km 

 
Correct Answer : D
60. A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance (in km) is

A. 2  

B. 3  

C. 4  

D. 5 

 
Correct Answer : B

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