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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 438 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  2. 2.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  3. 3.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  5. 5.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  7. 7.A boat goes 84 km downstream in 4 hours and 76 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  8. 8.Two trains, 100 m and 500 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  9. 9.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  12. 12.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  13. 13.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 48 km upstream and come back?
  14. 14.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  15. 15.A boat goes 72 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.Two trains, 160 m and 335 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  17. 17.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  18. 18.A boat goes 80 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  19. 19.Two trains, 130 m and 270 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  20. 20.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  21. 21.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  22. 22.Two trains, 110 m and 130 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  23. 23.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  25. 25.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  26. 26.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  27. 27.Two trains, 160 m and 80 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  28. 28.Two trains, 190 m and 80 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  29. 29.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  30. 30.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  31. 31.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  33. 33.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  34. 34.Two trains, 200 m and 70 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  35. 35.Two trains, 50 m and 175 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  36. 36.A boat goes 51 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  37. 37.Two trains, 140 m and 105 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  38. 38.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 84 km upstream and come back?
  39. 39.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  40. 40.Two trains, 180 m and 90 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?

Answer key

  1. 300
  2. 29
  3. 11
  4. 20
  5. 27
  6. 40
  7. 1
  8. 12
  9. 18
  10. 28
  11. 25
  12. 3
  13. 9
  14. 175
  15. 4
  16. 11
  17. 18
  18. 5
  19. 8
  20. 19
  21. 170
  22. 6
  23. 1
  24. 140
  25. 460
  26. 200
  27. 6
  28. 9
  29. 8
  30. 130
  31. 7
  32. 16
  33. 405
  34. 6
  35. 5
  36. 5
  37. 7
  38. 16
  39. 18
  40. 9

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