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Time, Speed and Distance questions

Unit conversion, average speed, relative speed.

1. A car goes from city X to Y at 50 km/h and returns at 75 km/h. What is the average speed for the round trip?

  1. 60 km/h
  2. 58 km/h
  3. 62 km/h
  4. 56 km/h
Answer

A. 60 km/h Average speed = 2ab/(a + b) = 2 × 50 × 75/125 = 60 km/h (not the simple mean 62.5).

2. Convert 36 km/h into metres per second.

  1. 10 m/s
  2. 11 m/s
  3. 8 m/s
  4. 12 m/s
Answer

A. 10 m/s 36 × 5/18 = 10 m/s.

3. A cyclist covers a distance in 6 hours at 50 km/h. How long will the same distance take at 60 km/h?

  1. 5 hours
  2. 6 hours
  3. 3 hours
  4. 7 hours
Answer

A. 5 hours Distance = 50 × 6 = 300 km. Time = 300/60 = 5 hours.

4. Nikhil and Farhan start from the same point and walk in opposite directions at 4 km/h and 5 km/h. How far apart are they after 2 hours?

  1. 23 km
  2. 18 km
  3. 20 km
  4. 16 km
Answer

B. 18 km Relative speed = 4 + 5 = 9 km/h. Distance = 9 × 2 = 18 km.

5. A car goes from city X to Y at 24 km/h and returns at 40 km/h. What is the average speed for the round trip?

  1. 35 km/h
  2. 28 km/h
  3. 30 km/h
  4. 32 km/h
Answer

C. 30 km/h Average speed = 2ab/(a + b) = 2 × 24 × 40/64 = 30 km/h (not the simple mean 32).

6. Convert 54 km/h into metres per second.

  1. 15 m/s
  2. 12 m/s
  3. 17 m/s
  4. 18 m/s
Answer

A. 15 m/s 54 × 5/18 = 15 m/s.

7. A cyclist covers a distance in 5 hours at 25 km/h. How long will the same distance take at 30 km/h?

  1. 3.75 hours
  2. 4.59 hours
  3. 4.17 hours
  4. 6.17 hours
Answer

C. 4.17 hours Distance = 25 × 5 = 125 km. Time = 125/30 = 4.17 hours.

8. Kiran and Arjun start from the same point and walk in opposite directions at 3 km/h and 7 km/h. How far apart are they after 2 hours?

  1. 24 km
  2. 22 km
  3. 16 km
  4. 20 km
Answer

D. 20 km Relative speed = 3 + 7 = 10 km/h. Distance = 10 × 2 = 20 km.

9. A car goes from city X to Y at 36 km/h and returns at 45 km/h. What is the average speed for the round trip?

  1. 38 km/h
  2. 45 km/h
  3. 40 km/h
  4. 42 km/h
Answer

C. 40 km/h Average speed = 2ab/(a + b) = 2 × 36 × 45/81 = 40 km/h (not the simple mean 40.5).

10. Convert 108 km/h into metres per second.

  1. 29 m/s
  2. 38 m/s
  3. 30 m/s
  4. 24 m/s
Answer

C. 30 m/s 108 × 5/18 = 30 m/s.

11. A cyclist covers a distance in 6 hours at 35 km/h. How long will the same distance take at 50 km/h?

  1. 5.25 hours
  2. 5.2 hours
  3. 4.2 hours
  4. 3.15 hours
Answer

C. 4.2 hours Distance = 35 × 6 = 210 km. Time = 210/50 = 4.2 hours.

12. Rohit and Divya start from the same point and walk in opposite directions at 7 km/h and 5 km/h. How far apart are they after 5 hours?

  1. 66 km
  2. 62 km
  3. 45 km
  4. 60 km
Answer

D. 60 km Relative speed = 7 + 5 = 12 km/h. Distance = 12 × 5 = 60 km.

13. A car goes from city X to Y at 60 km/h and returns at 90 km/h. What is the average speed for the round trip?

  1. 68 km/h
  2. 74 km/h
  3. 75 km/h
  4. 72 km/h
Answer

D. 72 km/h Average speed = 2ab/(a + b) = 2 × 60 × 90/150 = 72 km/h (not the simple mean 75).

14. Convert 18 km/h into metres per second.

  1. 5 m/s
  2. 4 m/s
  3. 6 m/s
  4. 7 m/s
Answer

A. 5 m/s 18 × 5/18 = 5 m/s.

15. A cyclist covers a distance in 8 hours at 50 km/h. How long will the same distance take at 65 km/h?

  1. 5.15 hours
  2. 4.15 hours
  3. 6.15 hours
  4. 7.69 hours
Answer

C. 6.15 hours Distance = 50 × 8 = 400 km. Time = 400/65 = 6.15 hours.

16. Zoya and Meera start from the same point and walk in opposite directions at 5 km/h and 2 km/h. How far apart are they after 3 hours?

  1. 26 km
  2. 16 km
  3. 21 km
  4. 22 km
Answer

C. 21 km Relative speed = 5 + 2 = 7 km/h. Distance = 7 × 3 = 21 km.

17. A car goes from city X to Y at 20 km/h and returns at 30 km/h. What is the average speed for the round trip?

  1. 22 km/h
  2. 26 km/h
  3. 24 km/h
  4. 25 km/h
Answer

C. 24 km/h Average speed = 2ab/(a + b) = 2 × 20 × 30/50 = 24 km/h (not the simple mean 25).

18. Convert 72 km/h into metres per second.

  1. 20 m/s
  2. 25 m/s
  3. 21 m/s
  4. 15 m/s
Answer

A. 20 m/s 72 × 5/18 = 20 m/s.

19. A cyclist covers a distance in 2 hours at 60 km/h. How long will the same distance take at 70 km/h?

  1. 1.71 hours
  2. 1.54 hours
  3. 1.37 hours
  4. 2.05 hours
Answer

A. 1.71 hours Distance = 60 × 2 = 120 km. Time = 120/70 = 1.71 hours.

20. Kiran and Rahul start from the same point and walk in opposite directions at 3 km/h and 6 km/h. How far apart are they after 2 hours?

  1. 16 km
  2. 17 km
  3. 18 km
  4. 14 km
Answer

C. 18 km Relative speed = 3 + 6 = 9 km/h. Distance = 9 × 2 = 18 km.

21. A car goes from city X to Y at 40 km/h and returns at 60 km/h. What is the average speed for the round trip?

  1. 44 km/h
  2. 50 km/h
  3. 46 km/h
  4. 48 km/h
Answer

D. 48 km/h Average speed = 2ab/(a + b) = 2 × 40 × 60/100 = 48 km/h (not the simple mean 50).

22. Convert 90 km/h into metres per second.

  1. 25 m/s
  2. 26 m/s
  3. 27 m/s
  4. 19 m/s
Answer

A. 25 m/s 90 × 5/18 = 25 m/s.

23. A cyclist covers a distance in 3 hours at 30 km/h. How long will the same distance take at 45 km/h?

  1. 1 hour
  2. 2 hours
  3. 3 hours
  4. 4 hours
Answer

B. 2 hours Distance = 30 × 3 = 90 km. Time = 90/45 = 2 hours.

24. Imran and Vikram start from the same point and walk in opposite directions at 4 km/h and 8 km/h. How far apart are they after 2 hours?

  1. 25 km
  2. 30 km
  3. 29 km
  4. 24 km
Answer

D. 24 km Relative speed = 4 + 8 = 12 km/h. Distance = 12 × 2 = 24 km.

25. A cyclist covers a distance in 3 hours at 60 km/h. How long will the same distance take at 75 km/h?

  1. 1.92 hours
  2. 1.4 hours
  3. 4.4 hours
  4. 2.4 hours
Answer

D. 2.4 hours Distance = 60 × 3 = 180 km. Time = 180/75 = 2.4 hours.

26. Sana and Kiran start from the same point and walk in opposite directions at 5 km/h and 8 km/h. How far apart are they after 5 hours?

  1. 65 km
  2. 49 km
  3. 59 km
  4. 64 km
Answer

A. 65 km Relative speed = 5 + 8 = 13 km/h. Distance = 13 × 5 = 65 km.

27. A cyclist covers a distance in 7 hours at 55 km/h. How long will the same distance take at 70 km/h?

  1. 5.5 hours
  2. 7.5 hours
  3. 4.13 hours
  4. 3.5 hours
Answer

A. 5.5 hours Distance = 55 × 7 = 385 km. Time = 385/70 = 5.5 hours.

28. Rohit and Vikram start from the same point and walk in opposite directions at 5 km/h and 4 km/h. How far apart are they after 4 hours?

  1. 34 km
  2. 43 km
  3. 36 km
  4. 29 km
Answer

C. 36 km Relative speed = 5 + 4 = 9 km/h. Distance = 9 × 4 = 36 km.

29. A cyclist covers a distance in 8 hours at 50 km/h. How long will the same distance take at 60 km/h?

  1. 8.67 hours
  2. 4.67 hours
  3. 6.67 hours
  4. 5.67 hours
Answer

C. 6.67 hours Distance = 50 × 8 = 400 km. Time = 400/60 = 6.67 hours.

30. Sana and Fatima start from the same point and walk in opposite directions at 4 km/h and 6 km/h. How far apart are they after 3 hours?

  1. 27 km
  2. 30 km
  3. 28 km
  4. 29 km
Answer

B. 30 km Relative speed = 4 + 6 = 10 km/h. Distance = 10 × 3 = 30 km.

31. A cyclist covers a distance in 7 hours at 35 km/h. How long will the same distance take at 40 km/h?

  1. 5.13 hours
  2. 6.74 hours
  3. 6.13 hours
  4. 4.9 hours
Answer

C. 6.13 hours Distance = 35 × 7 = 245 km. Time = 245/40 = 6.13 hours.

32. Ayesha and Rohit start from the same point and walk in opposite directions at 9 km/h and 7 km/h. How far apart are they after 5 hours?

  1. 88 km
  2. 81 km
  3. 80 km
  4. 64 km
Answer

C. 80 km Relative speed = 9 + 7 = 16 km/h. Distance = 16 × 5 = 80 km.

33. A cyclist covers a distance in 7 hours at 45 km/h. How long will the same distance take at 60 km/h?

  1. 6.56 hours
  2. 4.2 hours
  3. 5.25 hours
  4. 6.3 hours
Answer

C. 5.25 hours Distance = 45 × 7 = 315 km. Time = 315/60 = 5.25 hours.

34. Priya and Ravi start from the same point and walk in opposite directions at 6 km/h and 4 km/h. How far apart are they after 5 hours?

  1. 63 km
  2. 51 km
  3. 49 km
  4. 50 km
Answer

D. 50 km Relative speed = 6 + 4 = 10 km/h. Distance = 10 × 5 = 50 km.

35. A cyclist covers a distance in 8 hours at 55 km/h. How long will the same distance take at 70 km/h?

  1. 6.92 hours
  2. 6.29 hours
  3. 8.29 hours
  4. 5.29 hours
Answer

B. 6.29 hours Distance = 55 × 8 = 440 km. Time = 440/70 = 6.29 hours.

36. Vikram and Nikhil start from the same point and walk in opposite directions at 9 km/h and 6 km/h. How far apart are they after 4 hours?

  1. 54 km
  2. 62 km
  3. 66 km
  4. 60 km
Answer

D. 60 km Relative speed = 9 + 6 = 15 km/h. Distance = 15 × 4 = 60 km.

37. A cyclist covers a distance in 4 hours at 45 km/h. How long will the same distance take at 60 km/h?

  1. 3 hours
  2. 2 hours
  3. 1 hour
  4. 5 hours
Answer

A. 3 hours Distance = 45 × 4 = 180 km. Time = 180/60 = 3 hours.

38. Arjun and Vikram start from the same point and walk in opposite directions at 9 km/h and 7 km/h. How far apart are they after 2 hours?

  1. 32 km
  2. 30 km
  3. 40 km
  4. 24 km
Answer

A. 32 km Relative speed = 9 + 7 = 16 km/h. Distance = 16 × 2 = 32 km.

39. A cyclist covers a distance in 2 hours at 40 km/h. How long will the same distance take at 50 km/h?

  1. 1.6 hours
  2. 3.6 hours
  3. 1.92 hours
  4. 2 hours
Answer

A. 1.6 hours Distance = 40 × 2 = 80 km. Time = 80/50 = 1.6 hours.

40. A cyclist covers a distance in 8 hours at 25 km/h. How long will the same distance take at 40 km/h?

  1. 4 hours
  2. 5 hours
  3. 3 hours
  4. 7 hours
Answer

B. 5 hours Distance = 25 × 8 = 200 km. Time = 200/40 = 5 hours.

41. A cyclist covers a distance in 6 hours at 45 km/h. How long will the same distance take at 55 km/h?

  1. 4.91 hours
  2. 3.91 hours
  3. 4.42 hours
  4. 6.91 hours
Answer

A. 4.91 hours Distance = 45 × 6 = 270 km. Time = 270/55 = 4.91 hours.

42. A cyclist covers a distance in 8 hours at 30 km/h. How long will the same distance take at 45 km/h?

  1. 6.4 hours
  2. 4.26 hours
  3. 5.33 hours
  4. 6.66 hours
Answer

C. 5.33 hours Distance = 30 × 8 = 240 km. Time = 240/45 = 5.33 hours.

43. A cyclist covers a distance in 8 hours at 35 km/h. How long will the same distance take at 40 km/h?

  1. 5 hours
  2. 6 hours
  3. 7 hours
  4. 8 hours
Answer

C. 7 hours Distance = 35 × 8 = 280 km. Time = 280/40 = 7 hours.

44. A cyclist covers a distance in 6 hours at 60 km/h. How long will the same distance take at 65 km/h?

  1. 3.54 hours
  2. 6.09 hours
  3. 5.54 hours
  4. 6.54 hours
Answer

C. 5.54 hours Distance = 60 × 6 = 360 km. Time = 360/65 = 5.54 hours.

45. A cyclist covers a distance in 2 hours at 30 km/h. How long will the same distance take at 35 km/h?

  1. 0.71 hours
  2. 3.71 hours
  3. 1.71 hours
  4. 2.71 hours
Answer

C. 1.71 hours Distance = 30 × 2 = 60 km. Time = 60/35 = 1.71 hours.

46. A cyclist covers a distance in 6 hours at 35 km/h. How long will the same distance take at 40 km/h?

  1. 6.3 hours
  2. 5.25 hours
  3. 4.25 hours
  4. 3.25 hours
Answer

B. 5.25 hours Distance = 35 × 6 = 210 km. Time = 210/40 = 5.25 hours.

47. A cyclist covers a distance in 7 hours at 40 km/h. How long will the same distance take at 45 km/h?

  1. 6.22 hours
  2. 7.46 hours
  3. 4.22 hours
  4. 5.6 hours
Answer

A. 6.22 hours Distance = 40 × 7 = 280 km. Time = 280/45 = 6.22 hours.

48. A cyclist covers a distance in 8 hours at 40 km/h. How long will the same distance take at 55 km/h?

  1. 6.98 hours
  2. 5.82 hours
  3. 5.24 hours
  4. 6.4 hours
Answer

B. 5.82 hours Distance = 40 × 8 = 320 km. Time = 320/55 = 5.82 hours.

49. A cyclist covers a distance in 6 hours at 55 km/h. How long will the same distance take at 65 km/h?

  1. 5.08 hours
  2. 7.08 hours
  3. 5.59 hours
  4. 6.1 hours
Answer

A. 5.08 hours Distance = 55 × 6 = 330 km. Time = 330/65 = 5.08 hours.

50. A cyclist covers a distance in 8 hours at 40 km/h. How long will the same distance take at 50 km/h?

  1. 4.8 hours
  2. 6.4 hours
  3. 5.76 hours
  4. 7.68 hours
Answer

B. 6.4 hours Distance = 40 × 8 = 320 km. Time = 320/50 = 6.4 hours.

51. A train travels at 56 km/h for 17 hours. What distance does it cover in km?

  1. 959
  2. 945
  3. 957
  4. 952
Answer

D. 952 Distance = speed × time = 56×17 = 952 km.

52. A train travels at 113 km/h for 3 hours. What distance does it cover in km?

  1. 329
  2. 339
  3. 344
  4. 340
Answer

B. 339 Distance = speed × time = 113×3 = 339 km.

53. A train travels at 109 km/h for 6 hours. What distance does it cover in km?

  1. 657
  2. 653
  3. 649
  4. 654
Answer

D. 654 Distance = speed × time = 109×6 = 654 km.

54. A train travels at 90 km/h for 5 hours. What distance does it cover in km?

  1. 452
  2. 455
  3. 450
  4. 440
Answer

C. 450 Distance = speed × time = 90×5 = 450 km.

55. A train travels at 105 km/h for 17 hours. What distance does it cover in km?

  1. 1785
  2. 1786
  3. 1788
  4. 1790
Answer

A. 1785 Distance = speed × time = 105×17 = 1785 km.

56. A train travels at 45 km/h for 4 hours. What distance does it cover in km?

  1. 170
  2. 185
  3. 183
  4. 180
Answer

D. 180 Distance = speed × time = 45×4 = 180 km.

57. A train travels at 58 km/h for 19 hours. What distance does it cover in km?

  1. 1109
  2. 1100
  3. 1102
  4. 1097
Answer

C. 1102 Distance = speed × time = 58×19 = 1102 km.

58. A train travels at 92 km/h for 6 hours. What distance does it cover in km?

  1. 553
  2. 542
  3. 555
  4. 552
Answer

D. 552 Distance = speed × time = 92×6 = 552 km.

59. A train travels at 36 km/h for 8 hours. What distance does it cover in km?

  1. 288
  2. 283
  3. 291
  4. 293
Answer

A. 288 Distance = speed × time = 36×8 = 288 km.

60. A train travels at 77 km/h for 16 hours. What distance does it cover in km?

  1. 1239
  2. 1230
  3. 1225
  4. 1232
Answer

D. 1232 Distance = speed × time = 77×16 = 1232 km.

61. A train travels at 82 km/h for 10 hours. What distance does it cover in km?

  1. 830
  2. 822
  3. 820
  4. 817
Answer

C. 820 Distance = speed × time = 82×10 = 820 km.

62. A train travels at 103 km/h for 4 hours. What distance does it cover in km?

  1. 415
  2. 412
  3. 402
  4. 422
Answer

B. 412 Distance = speed × time = 103×4 = 412 km.

63. A vehicle travels at a constant speed of 23 km/h for 8 hours. How far does it travel (in km)?

  1. 214
  2. 224
  3. 196
  4. 184
Answer

D. 184 Distance = speed × time = 23 × 8 = 184 km.

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