# Time and distance aptitude problems

**Time and distance aptitude problems**

1) A car travels the first one-third of a certain distance with a speed of 10 km / hr, the next one-third distance with a speed of 20km /hr, and the last one-third distance with a speed of 60 km/hr The average speed of the car for the whole journey is :

(a) 18 km/hr

(b) 24 km/hr

(c) 30 kmph

(d) 36 km/hr

2) A car travels from P to Q at a constant speed. If its speed were increased by 10 km/hr, it would have taken one hour lesser to cover the distance .It would have taken further 45 minutes lesser if the speed was further increased by 10 kmph What is the distance, between the two cities?

(a) 420 kM

(b) 540 km

c) 600 km

(d) 650 km

3) A Man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. What is the distance travelled on foot?

A. 12 km

B. 14 km

C. 16 km

D. 18 km

4) Walking 6/7th of his usual speed, a man is 12 minutes too late. What is the usual time taken by him to cover that distance?

A. 1 hr 42 min

B. 1 hr

C. 2 hr

D. 1 hr 12 min

5) A truck covers a distance of 550 metres in 1 minute whereas a train covers a distance of 33 kms in 45 minutes. What is the ratio of their speed?

A. 2 : 1

B. 1 : 2

C. 4 : 3

D. 3 : 4

6) 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, what should be his speed in km/hr?

A. 14 km/hr

B. 12 km/hr

C. 10 km/hr

D. 8 km/hr

7 ) A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:

A. 35

B. 36 2/3

C. 37 1/2

D. 40

8) It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:

A. 2 : 3

B. 3 : 2

C. 3 : 4

D. 4 : 3

9) A man travels 600 km by train at 80 km/hr, 800 km by ship at 40 km/hr, 500 km by aero plane at 400 km / hr and 100 km by car at 50 km / hr. What is the average speed for the entire distance?

(a) 60 km/hr

(b) 60(5/123) km/hr

(c) 62km/hr

(d) 65(5/123) km/hr

10) A man goes to his office from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, what is the distance between his house and office?

A. 3 km

B. 4 km

C. 5 km

D. 6 km

11) 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

12) A certain distance is covered by a cyclist at a curtain 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

(a) 1 : 2

b) 2:1

(c) 1 : 4

(d) 4: 1

13) A man takes 5 hours 45 min in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to walk both ways is

A. 11 hrs

B. 8 hrs 45 min

C. 7 hrs 45 min

D. 9 hrs 20 min

14) A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

A. 8.2

B. 4.2

C. 6.1

D. 7.2

15) A person travels from A to B at a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?

A. 60 km/hr

B. 56 km/hr

C. 52 km/hr

D. 48 km/hr

16) 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, at what speed is the train travelling?

A. 61 km/hr

B. 56 km/hr

C. 63 km/hr

D. 60 km/hr

17) A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:

A. 14 km

B. 15 km

C. 16 km

D. 17 km

18) Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?

A. 8 kmph

B. 11 kmph

C. 12 kmph

D. 14 kmph

19) In covering a distance of 30 km, Arun takes 2 hours more than Anil. If Arun doubles his speed, then he would take 1 hour less than Anil. What is Arun’s speed?

A. 8 kmph

B. 5 kmph

C. 4 kmph

D. 7 kmph

20) A car travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. What is the average speed for the first 320 km of the tour?

A. 70.24 km/hr

B. 74. 24 km/hr

C. 71.11 km/hr

D. 72.21 km/hr

21) 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) 9/4 hrs

(b) 4 hrs 5 min

(c 9/2 hrs

(d) Cannot be determine

(e) None of these

22) 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 kms

(b) 482 kms

(c) 552 kms

(d) 556 kms

(e) None of these

23) A man on tour travels first 160 km at 64 km/hr and the next 160 km at 81 kmph The average speed for the first 320 km of the tour is :

(a) 35.55 km/hr

(b) 361 km/hr

(c) 71.11 km/hr

24) A boy rides his bicycle 10 km at an average speed of 12 km / hr and again travels 12 km at an average speed of 10 kmph His average speed for the entire trip is approximately:

(a) 10.4 km/hr

(b) 10.8 kmph

(c) 11 km/hr

(d) 12.2 kmph

25) A man rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. What is his average speed for the entire trip approximately?

A. 11.2 kmph

B. 10 kmph

C. 10.2 kmph

D. 10.8 kmph

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

A. 660 km/hr

B. 680 km/hr

C. 700 km/hr

D. 720 km/hr

27) It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. What is the ratio of the speed of the train to that of the car?

A. 3 : 4

B. 2 : 3

C. 1 : 2

D. 1 : 3

28) Arun is traveling on his cycle and has calculated to reach point A at 2 pm if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 pm?

A. 8 kmph

B. 10 kmph

C. 12 kmph

D. 14 kmph

29) A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the ‘stations. The speed of the car is:

(a) 100 kmph

(b 110 kmph

(c 120 kmph

(d 130 kmph

30) Excluding stoppages, the speed of a bus is 54 kmph and including stoppages,it is 45 kmph. For how many minutes does the bus stop per hour?

(a) 9

(b) 10

(c) 12

d) 20

31) A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. What is the length of the bridge (in metres)?

A. 1250

B. 1280

C. 1320

D. 1340

32) A 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. 7 hrs 14 min

C. 7 hrs 22 min

D. 6 hrs

33) In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay’s speed is:

A. 5 kmph

B. 6 kmph

C. 6.25 kmph

D. 7.5 kmph

34) A car travelling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.

A. 17 6/7 km/hr

B. 25 km/hr

C. 30 km/hr

D. 35 km/hr

35) If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. What is the actual distance travelled by him?

A. 80 km

B. 70 km

C. 60 km

D. 50 km

36) The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, What is the the speed of the first train?

A. 85 km/hr

B. 87.5 km/hr

C. 90 km/hr

D. 92.5 km/hr

37) A car covers a distance of 715 km at a constant speed. If the speed Of the car would have been. 10 km / hr more than it would have, taken 2 hours less to cover the same distance. What is the original speed of the car?

(a) 45 km/hr

(b) 50 km/hr

(c) 55 km/hr

(d) 65 km/hr

38) In covering a certain distance, the speeds of A and B are in the ratio of 3 : 4 A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is

a) 1 hour

(b 1.5 hours

(C) 2 hours

(d) 2.5 hours

39) A train is moving at the speed of 80 km/hr. What is its speed in metres per second?

A. 22(2/9 m/s

B. 22 m/s

C. 21(1/9 m/sec

D. 21 m/s

40) The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 Km/hr. At what time will they meet?

A. 10.30 a.m

B. 10 a.m

C. 12 noon

D. 11 a.m

41) A man 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

42) The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km 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

43) A, B and C are on a trip by a car. A drives during the first hour at an average speed of 50 km/hr. B drives during the next 2 hours at an average speed of 48 km/hr C drives for the next 3 hours at an average speed of 52 km/hr. They reached their destination after exactly 6 hours. Their mean speed was?

(a) 50 km/hr

(b) 151/3 km/hr

(c) 51(1/3) km/hr

(d) 52 km/hr

44) A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. What is the speed of the car?

A. 80 kmph

B. 102 kmph

C. 120 kmph

D. 140 kmph

45) In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. What is the duration of the flight ?

A. 2 hour

B. 1(1/2 hour

C. 1/2 hour

D. 1 hour

46) In covering a distance of 30 km, Abhay takes 2 hours more than SaMeer. If Abhay doubles his speed, then he would take 1 hour less than Sameer, Abhas speed is

a) 5 kmph

(b) 6 kmph

(c) 6.25 kmph

d) 74 kmph

47) 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. 1800 ft

B. 2810 ft

C. 3020 ft

D. 2420 ft

48) An athlete runs 200 metres race in 24 seconds. What is his speed?

A. 20 km/hr

B. 25 km/hr

C. 27.5 km/hr

D. 30 km/hr

49) A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:

A. 35.55 km/hr

B. 36 km/hr

C. 71.11 km/hr

D. 71 km/hr

50) In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

A. 1 hour

B. 2 hours

C. 3 hours

D. 4 hours

51) The average speed of a train in the onward journey is 25% more than that in the return journey. The train halts for one hour on reaching the destination. The total time taken for the complete to and fro journey is 17 hours, covering a distance of 800 km. The speed of the train in the onward journey is

(a) 45 km/hr

(b 47.5 km/hr

c) 52 km/hr

d) 56.25 km/hr

52) I started on my bicycle at 7 am. to reach a certain place. After going a certain distance, my bicycle went out of order. Consequently, I rested for 35 minutes and came back to my house walking all the way. I reached my house at 1 p.m. If my cycling speed is 10 kmph and my walking speed is 1 kmph, then on my bicycle I covered a distance of:

(a) 4(61/66) km

(b) 13(4/9) km

(c) 14(3/8) km

d) 15(10/21) km

53) Three persons are walking from a place A to another place B. Their speed are in the ratio of 4 : 3 :5. The time ratio to reach b by the person will be

(a) 4:3.:5

(b) 5:3:4

(c) 15:9:20

(d) 15:20:12

54) With a uniform speed a car covers the distance in 8 hours. Had the speed been increased by 4 km / hr, the same distance could have been covered in 15/2 hours. What is the distance covered?

(a) 420 km

(b) 480 km

(c) 640 km

(d) Cannot be determined

(e) None of these

55) A car travels at an average of 50 miles per hour for 212 hours and then travels at a speed of 70 miles per hour for 112 hours. How far did the car travel in the entire 4 hours?

A. 210 miles

B. 230 miles

C. 250 miles

D. 260 miles

56) The speed of a bus increases by 2 km after every one hour. If the distance travelling in the first one hour was 35 km. what was the total distance travelled in 12 hours?

A. 422 km

B. 552 km

C. 502 km

D. 492 km

57) A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:

A. 100 kmph

B. 110 kmph

C. 120 kmph

D. 130 kmph

58) Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

A. 9

B. 10

C. 12

D. 20

59) A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 9.30 a.m.?

A. 5

B. 6

C. 7

D. 8

60) Two boys starts from the same place walking at the rate of 5 kmph and 5.5 kmph respectively in the same direction. What time will they take to be 8.5 km apart?

A. 17 hr

B. 14 hr

C. 12 hr

D. 19 hr

61) A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 kmph the time taken by it to cover the same distance will be

(a) 10 min

(b) 11 min 20 sec

(C) 13 min

d) 14 min

62) Anna left for city A from city B at 5.20 a.m. She travelled at the speed of 80 kmph for 2 hours 15 minutes. After that the speed was reduced to 60 kmph If the distance between two cities is 350 kms, at what time did Anna reach city A?

(a) 9.20 am

(b) 9.25 a.m

(c) 9.35 a.m

(d) 10.05 a.m

(e) None of these

63) A car traveling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. What is the actual speed of the car?

A. 30 km/hr

B. 35 km/hr

C. 25 km/hr

D. 40 km/hr

64) A man covered a certain distance at some speed. If he had moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. What is the the distance in km?

A. 36

B. 38

C. 40

D. 42

65) 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

66) A can complete a journey in 10 hours. He travels first half of the journey at the rate of 21 kmph and second half at the rate of 24 kmph Find the total journey in km:

(a) 220 km

(b) 224 km

(c) 230 km

(d) 234 km

67) An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:

A. 300 kmph

B. 360 kmph

C. 600 kmph

D. 720 kmph

68) If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:

A. 50 km

B. 56 km

C. 70 km

D. 80 km

69) 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

70) 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

(d) 2629 ft

71) Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

A. 12

B. 11

C. 10

D. 9

72) A man 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. 121 km

B. 242 km

C. 224 km

D. 112 km

73) A person travels equal distances with speeds of 3 km ph 4 kmph and 5 kmph and takes a total time of 47 minutes. The total distance (in km) is:

(a) 2

(b) 3

(c) 4

(d) 5

74) 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

75) A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @4 km/hr and partly on bicycle @9 km/hr. The distance travelled on foot

(a) 14 km

(b) 15 km

(c) 16 km

(d) 17 km

76) A boy goes to his school from his house at a speed of3 km/hr and returns at a speed of 2 km / hr. If he takes 5 hours in going and coming, the distance between his house and school is:

(a) 5 km

(b) 5.5 km

(c) 6 km

(d) 6.5 km

77) Two men start together to walk to a certain destination, one at 3 kmph and another at 3.75 kmph. The latter arrives half an hour before the former. The distance is

(a) 6 km

(b) 7.5 km

(c) 8 km

(d) 9.5 km

78) It takes eight hours for a 600 km journey, if 120 km is ‘done by train and the rest by car. it takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is .

(a) 2:3

(b) 3: 2

(c) 3 : 4

79) Two trains starting at the same time from two stations 200 km apart and going in opposite directions cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds?

(a) 9:20

(b) 11:9

(c) 11:20

(d) None of these

80) A train travels at an average of 50 miles per hour for 5/2 hours and then travels at 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

81) A person is faster than B. A and B each walk 24 km. The sum of their speeds is 7 kmph and the sum of times taken by them is 14 hours. Then, A’s speed is equal to:

(a) 3 km/hr

(b) 4 km/hr

(c) 5 km/hr

(d) 7 kmph

82) In a flight of 600 km, an aircraft was slowed down due to bad weather Its average speed for the trip was reduced by 200 km / hr and the time of flight increased by 30 minutes. The duration of the flight is,:

a) 1 hour

b) 2 hours

(c) 3 hours

(d) 4 hours

83) Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr respectively. By the time they meet, the first train has travelled 100 km more than the second The distance between P and Q is:

(a) 500 km

(b) 630 km

(c) 660 km

(d) 900 km

84) The ratio between- the speed 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

85) A person travels from P to Q at a speed of 40 kmph and returns by increasing his by 50%. What is his average speed for both the trips?

(a) 36 kmph

(b) 45 kmph

(c) 48 kmph

d) 50 kmph

86) 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) 3:4

(b) 4:3

(c) 3:5

(d) 50:3

87) A car driver travels from the plains to the bill station, which: are 200 km apart at an average speed of 40 km / hr In the return trip, he cover the same distance at an average speed of 20 kmph. The average speed of the car over entire distance of 400 km is

(a) 25 km/hr

(b) 26.67 km/hr

(c) 28.56 km/hr

(d 30 km/hr

88) One of the two buses completes a journey of 300 km in 7.5 hours and the other a journey of 450 km in 9 hours. The ratio of their average speeds is:

(a) 2:3

(b) 3:4

(c ) 4:5

(d) 8:9

89) Mac travels from A to B a distance of 250 miles in 11/2 hours. He returns to A in 4 hours 30 minutes. His average speed is:

(a) 44 mph

(b) 46 mph

(c) 48 mph

(d) 50 mph

90) If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is

(a) 50 km

(b) 56 km

c) 70 km

(d) 80 km

91) Bombay Express left Delhi for Bombay at 14.30 hrs, travelling at a speed of 60 kmph and Rajdhani Express left Delhi for Bombay on the same day at 16.30 hrs, travelling at a speed of 80 kmph. How far away from Delhi will the two trains meet?

(a) 120 km

(b) 360 km

c) 480 km

(d) 500 km

92) A car is running at a speed of 108 kmph. What distance will it cover in 15 seconds?

(a) 45 metres

(b) 55 metres

(c) 450 metres

(d) Cannot be determined

(e) None of these

93) A train M leaves Meerut at 5 .m. and reaches Delhi at 9 a.m. Another train leaves Delhi at 7 a.m. and reaches Meerut at 10.30 a.m. At what time do the two trains cross each other? ‘

(a) 7.36 a.m

b) 7.56 a.m

(c) 8 a.m

(d) 8.26 a.m.

94) How long will a boy take to run round a square field of side 35 metres, if he runs at the rate of 9 km/hr?

(a) 50 sec

(b) 52 sec

(c) 54 sec

(d) 56 sec

95) A man takes 5 hour 45 mm. in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to Walk both Ways, is :

(a) 3 hrs 45 min

(b) 7 hrs 30 min

(c) 7 hrs 45 min

(d) 11 hrs 45 min

96) Which of the following trains is the fastest?

(a) 25 m/sec

(b) 1500 m/min

(c) 90 km/hr

(d) None of these

97) 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

98) A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is:

(a) 600

(b) 750

(c) 1000

(d) 1250

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