Problems on Trains questions

Crossing poles, platforms and other trains.

1. Two trains 140 m and 120 m long run in opposite directions at 72 km/h and 18 km/h. In how many seconds will they cross each other?

  1. 8.4 seconds
  2. 9.4 seconds
  3. 11.44 seconds
  4. 10.4 seconds
Answer

D. 10.4 seconds Relative speed = (72 + 18) × 5/18 = 25 m/s. Time = (140 + 120)/25 = 10.4 s.

2. A 110 m long train at 36 km/h crosses a 390 m long platform. How long does it take?

  1. 50 seconds
  2. 48 seconds
  3. 40 seconds
  4. 60 seconds
Answer

A. 50 seconds Distance = 110 + 390 = 500 m. Speed = 10 m/s. Time = 50 s.

3. A train running at 36 km/h crosses a pole in 12 seconds. What is the length of the train?

  1. 118 m
  2. 120 m
  3. 144 m
  4. 132 m
Answer

B. 120 m Speed = 36 × 5/18 = 10 m/s. Length = 10 × 12 = 120 m.

4. Two trains 240 m and 220 m long run in opposite directions at 54 km/h and 18 km/h. In how many seconds will they cross each other?

  1. 22 seconds
  2. 29 seconds
  3. 23 seconds
  4. 24 seconds
Answer

C. 23 seconds Relative speed = (54 + 18) × 5/18 = 20 m/s. Time = (240 + 220)/20 = 23 s.

5. A 210 m long train at 72 km/h crosses a 350 m long platform. How long does it take?

  1. 21 seconds
  2. 26 seconds
  3. 30 seconds
  4. 28 seconds
Answer

D. 28 seconds Distance = 210 + 350 = 560 m. Speed = 20 m/s. Time = 28 s.

6. A train running at 108 km/h crosses a pole in 10 seconds. What is the length of the train?

  1. 240 m
  2. 299 m
  3. 300 m
  4. 302 m
Answer

C. 300 m Speed = 108 × 5/18 = 30 m/s. Length = 30 × 10 = 300 m.

7. Two trains 240 m and 110 m long run in opposite directions at 36 km/h and 36 km/h. In how many seconds will they cross each other?

  1. 17.5 seconds
  2. 21.88 seconds
  3. 14 seconds
  4. 16.5 seconds
Answer

A. 17.5 seconds Relative speed = (36 + 36) × 5/18 = 20 m/s. Time = (240 + 110)/20 = 17.5 s.

8. A 260 m long train at 36 km/h crosses a 340 m long platform. How long does it take?

  1. 54 seconds
  2. 72 seconds
  3. 48 seconds
  4. 60 seconds
Answer

D. 60 seconds Distance = 260 + 340 = 600 m. Speed = 10 m/s. Time = 60 s.

9. A train running at 72 km/h crosses a pole in 19 seconds. What is the length of the train?

  1. 475 m
  2. 380 m
  3. 381 m
  4. 378 m
Answer

B. 380 m Speed = 72 × 5/18 = 20 m/s. Length = 20 × 19 = 380 m.

10. Two trains 150 m and 240 m long run in opposite directions at 36 km/h and 54 km/h. In how many seconds will they cross each other?

  1. 17.16 seconds
  2. 15.6 seconds
  3. 11.7 seconds
  4. 13.6 seconds
Answer

B. 15.6 seconds Relative speed = (36 + 54) × 5/18 = 25 m/s. Time = (150 + 240)/25 = 15.6 s.

11. A 100 m long train at 72 km/h crosses a 400 m long platform. How long does it take?

  1. 25 seconds
  2. 23 seconds
  3. 27 seconds
  4. 31 seconds
Answer

A. 25 seconds Distance = 100 + 400 = 500 m. Speed = 20 m/s. Time = 25 s.

12. A train running at 36 km/h crosses a pole in 10 seconds. What is the length of the train?

  1. 90 m
  2. 80 m
  3. 99 m
  4. 100 m
Answer

D. 100 m Speed = 36 × 5/18 = 10 m/s. Length = 10 × 10 = 100 m.

13. Two trains 130 m and 190 m long run in opposite directions at 36 km/h and 54 km/h. In how many seconds will they cross each other?

  1. 12.8 seconds
  2. 11.8 seconds
  3. 15.36 seconds
  4. 14.08 seconds
Answer

A. 12.8 seconds Relative speed = (36 + 54) × 5/18 = 25 m/s. Time = (130 + 190)/25 = 12.8 s.

14. A 290 m long train at 36 km/h crosses a 360 m long platform. How long does it take?

  1. 64 seconds
  2. 66 seconds
  3. 72 seconds
  4. 65 seconds
Answer

D. 65 seconds Distance = 290 + 360 = 650 m. Speed = 10 m/s. Time = 65 s.

15. A train running at 108 km/h crosses a pole in 7 seconds. What is the length of the train?

  1. 208 m
  2. 158 m
  3. 210 m
  4. 209 m
Answer

C. 210 m Speed = 108 × 5/18 = 30 m/s. Length = 30 × 7 = 210 m.

16. Two trains 200 m and 110 m long run in opposite directions at 36 km/h and 54 km/h. In how many seconds will they cross each other?

  1. 13.64 seconds
  2. 11.4 seconds
  3. 12.4 seconds
  4. 14.88 seconds
Answer

C. 12.4 seconds Relative speed = (36 + 54) × 5/18 = 25 m/s. Time = (200 + 110)/25 = 12.4 s.

17. A 190 m long train at 36 km/h crosses a 270 m long platform. How long does it take?

  1. 46 seconds
  2. 44 seconds
  3. 35 seconds
  4. 47 seconds
Answer

A. 46 seconds Distance = 190 + 270 = 460 m. Speed = 10 m/s. Time = 46 s.

18. A train running at 108 km/h crosses a pole in 13 seconds. What is the length of the train?

  1. 392 m
  2. 429 m
  3. 390 m
  4. 388 m
Answer

C. 390 m Speed = 108 × 5/18 = 30 m/s. Length = 30 × 13 = 390 m.

19. Two trains 180 m and 130 m long run in opposite directions at 54 km/h and 36 km/h. In how many seconds will they cross each other?

  1. 13.4 seconds
  2. 15.5 seconds
  3. 11.4 seconds
  4. 12.4 seconds
Answer

D. 12.4 seconds Relative speed = (54 + 36) × 5/18 = 25 m/s. Time = (180 + 130)/25 = 12.4 s.

20. A 280 m long train at 36 km/h crosses a 250 m long platform. How long does it take?

  1. 54 seconds
  2. 64 seconds
  3. 53 seconds
  4. 51 seconds
Answer

C. 53 seconds Distance = 280 + 250 = 530 m. Speed = 10 m/s. Time = 53 s.

21. A train running at 72 km/h crosses a pole in 14 seconds. What is the length of the train?

  1. 280 m
  2. 224 m
  3. 279 m
  4. 281 m
Answer

A. 280 m Speed = 72 × 5/18 = 20 m/s. Length = 20 × 14 = 280 m.

22. Two trains 210 m and 160 m long run in opposite directions at 36 km/h and 36 km/h. In how many seconds will they cross each other?

  1. 22.2 seconds
  2. 18.5 seconds
  3. 16.5 seconds
  4. 19.5 seconds
Answer

B. 18.5 seconds Relative speed = (36 + 36) × 5/18 = 20 m/s. Time = (210 + 160)/20 = 18.5 s.

23. A 230 m long train at 72 km/h crosses a 150 m long platform. How long does it take?

  1. 18 seconds
  2. 20 seconds
  3. 21 seconds
  4. 19 seconds
Answer

D. 19 seconds Distance = 230 + 150 = 380 m. Speed = 20 m/s. Time = 19 s.

24. A train running at 36 km/h crosses a pole in 9 seconds. What is the length of the train?

  1. 88 m
  2. 90 m
  3. 91 m
  4. 99 m
Answer

B. 90 m Speed = 36 × 5/18 = 10 m/s. Length = 10 × 9 = 90 m.

25. Two trains 190 m and 130 m long run in opposite directions at 54 km/h and 18 km/h. In how many seconds will they cross each other?

  1. 15 seconds
  2. 20 seconds
  3. 17 seconds
  4. 16 seconds
Answer

D. 16 seconds Relative speed = (54 + 18) × 5/18 = 20 m/s. Time = (190 + 130)/20 = 16 s.

26. A 110 m long train at 54 km/h crosses a 280 m long platform. How long does it take?

  1. 31 seconds
  2. 20 seconds
  3. 28 seconds
  4. 26 seconds
Answer

D. 26 seconds Distance = 110 + 280 = 390 m. Speed = 15 m/s. Time = 26 s.

27. A train running at 90 km/h crosses a pole in 6 seconds. What is the length of the train?

  1. 120 m
  2. 150 m
  3. 188 m
  4. 151 m
Answer

B. 150 m Speed = 90 × 5/18 = 25 m/s. Length = 25 × 6 = 150 m.

28. Two trains 110 m and 220 m long run in opposite directions at 72 km/h and 36 km/h. In how many seconds will they cross each other?

  1. 9 seconds
  2. 14 seconds
  3. 11 seconds
  4. 10 seconds
Answer

C. 11 seconds Relative speed = (72 + 36) × 5/18 = 30 m/s. Time = (110 + 220)/30 = 11 s.

29. A 130 m long train at 72 km/h crosses a 250 m long platform. How long does it take?

  1. 15 seconds
  2. 19 seconds
  3. 18 seconds
  4. 20 seconds
Answer

B. 19 seconds Distance = 130 + 250 = 380 m. Speed = 20 m/s. Time = 19 s.

30. A train running at 90 km/h crosses a pole in 7 seconds. What is the length of the train?

  1. 140 m
  2. 175 m
  3. 158 m
  4. 177 m
Answer

B. 175 m Speed = 90 × 5/18 = 25 m/s. Length = 25 × 7 = 175 m.

31. Two trains 180 m and 120 m long run in opposite directions at 54 km/h and 54 km/h. In how many seconds will they cross each other?

  1. 9 seconds
  2. 11 seconds
  3. 8 seconds
  4. 10 seconds
Answer

D. 10 seconds Relative speed = (54 + 54) × 5/18 = 30 m/s. Time = (180 + 120)/30 = 10 s.

32. A 260 m long train at 36 km/h crosses a 130 m long platform. How long does it take?

  1. 39 seconds
  2. 40 seconds
  3. 49 seconds
  4. 41 seconds
Answer

A. 39 seconds Distance = 260 + 130 = 390 m. Speed = 10 m/s. Time = 39 s.

33. A train running at 54 km/h crosses a pole in 6 seconds. What is the length of the train?

  1. 72 m
  2. 90 m
  3. 68 m
  4. 108 m
Answer

B. 90 m Speed = 54 × 5/18 = 15 m/s. Length = 15 × 6 = 90 m.

34. Two trains 140 m and 190 m long run in opposite directions at 54 km/h and 54 km/h. In how many seconds will they cross each other?

  1. 11 seconds
  2. 9 seconds
  3. 12 seconds
  4. 10 seconds
Answer

A. 11 seconds Relative speed = (54 + 54) × 5/18 = 30 m/s. Time = (140 + 190)/30 = 11 s.

35. A 220 m long train at 90 km/h crosses a 330 m long platform. How long does it take?

  1. 17 seconds
  2. 22 seconds
  3. 21 seconds
  4. 26 seconds
Answer

B. 22 seconds Distance = 220 + 330 = 550 m. Speed = 25 m/s. Time = 22 s.

36. A train running at 36 km/h crosses a pole in 17 seconds. What is the length of the train?

  1. 170 m
  2. 169 m
  3. 204 m
  4. 172 m
Answer

A. 170 m Speed = 36 × 5/18 = 10 m/s. Length = 10 × 17 = 170 m.

37. Two trains 140 m and 110 m long run in opposite directions at 36 km/h and 54 km/h. In how many seconds will they cross each other?

  1. 12 seconds
  2. 10 seconds
  3. 11 seconds
  4. 8 seconds
Answer

B. 10 seconds Relative speed = (36 + 54) × 5/18 = 25 m/s. Time = (140 + 110)/25 = 10 s.

38. A 230 m long train at 36 km/h crosses a 160 m long platform. How long does it take?

  1. 35 seconds
  2. 40 seconds
  3. 39 seconds
  4. 49 seconds
Answer

C. 39 seconds Distance = 230 + 160 = 390 m. Speed = 10 m/s. Time = 39 s.

39. A train running at 54 km/h crosses a pole in 10 seconds. What is the length of the train?

  1. 149 m
  2. 151 m
  3. 148 m
  4. 150 m
Answer

D. 150 m Speed = 54 × 5/18 = 15 m/s. Length = 15 × 10 = 150 m.

40. Two trains 130 m and 140 m long run in opposite directions at 36 km/h and 36 km/h. In how many seconds will they cross each other?

  1. 13.5 seconds
  2. 10.8 seconds
  3. 16.2 seconds
  4. 15.5 seconds
Answer

A. 13.5 seconds Relative speed = (36 + 36) × 5/18 = 20 m/s. Time = (130 + 140)/20 = 13.5 s.

41. A train running at 72 km/h crosses a pole in 12 seconds. What is the length of the train?

  1. 238 m
  2. 240 m
  3. 288 m
  4. 192 m
Answer

B. 240 m Speed = 72 × 5/18 = 20 m/s. Length = 20 × 12 = 240 m.

42. Two trains 210 m and 180 m long run in opposite directions at 54 km/h and 18 km/h. In how many seconds will they cross each other?

  1. 23.4 seconds
  2. 21.5 seconds
  3. 18.5 seconds
  4. 19.5 seconds
Answer

D. 19.5 seconds Relative speed = (54 + 18) × 5/18 = 20 m/s. Time = (210 + 180)/20 = 19.5 s.

43. A train running at 72 km/h crosses a pole in 10 seconds. What is the length of the train?

  1. 240 m
  2. 201 m
  3. 200 m
  4. 160 m
Answer

C. 200 m Speed = 72 × 5/18 = 20 m/s. Length = 20 × 10 = 200 m.

44. Two trains 110 m and 170 m long run in opposite directions at 54 km/h and 36 km/h. In how many seconds will they cross each other?

  1. 13.2 seconds
  2. 14 seconds
  3. 11.2 seconds
  4. 10.08 seconds
Answer

C. 11.2 seconds Relative speed = (54 + 36) × 5/18 = 25 m/s. Time = (110 + 170)/25 = 11.2 s.

45. A train running at 90 km/h crosses a pole in 13 seconds. What is the length of the train?

  1. 325 m
  2. 358 m
  3. 293 m
  4. 406 m
Answer

A. 325 m Speed = 90 × 5/18 = 25 m/s. Length = 25 × 13 = 325 m.

46. Two trains 160 m and 190 m long run in opposite directions at 54 km/h and 36 km/h. In how many seconds will they cross each other?

  1. 12 seconds
  2. 13 seconds
  3. 17 seconds
  4. 14 seconds
Answer

D. 14 seconds Relative speed = (54 + 36) × 5/18 = 25 m/s. Time = (160 + 190)/25 = 14 s.

47. A train running at 36 km/h crosses a pole in 6 seconds. What is the length of the train?

  1. 45 m
  2. 60 m
  3. 59 m
  4. 66 m
Answer

B. 60 m Speed = 36 × 5/18 = 10 m/s. Length = 10 × 6 = 60 m.

48. Two trains 180 m and 110 m long run in opposite directions at 54 km/h and 18 km/h. In how many seconds will they cross each other?

  1. 12.5 seconds
  2. 18.13 seconds
  3. 17.4 seconds
  4. 14.5 seconds
Answer

D. 14.5 seconds Relative speed = (54 + 18) × 5/18 = 20 m/s. Time = (180 + 110)/20 = 14.5 s.

49. A train running at 54 km/h crosses a pole in 8 seconds. What is the length of the train?

  1. 150 m
  2. 120 m
  3. 108 m
  4. 144 m
Answer

B. 120 m Speed = 54 × 5/18 = 15 m/s. Length = 15 × 8 = 120 m.

50. A train running at 72 km/h crosses a pole in 15 seconds. What is the length of the train?

  1. 302 m
  2. 360 m
  3. 330 m
  4. 300 m
Answer

D. 300 m Speed = 72 × 5/18 = 20 m/s. Length = 20 × 15 = 300 m.

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