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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 432 · 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 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  2. 2.Two trains, 200 m and 295 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?
  3. 3.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  5. 5.A boat goes 48 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  8. 8.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  9. 9.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  10. 10.Two trains, 200 m and 150 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  11. 11.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  12. 12.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 87 km upstream and come back?
  13. 13.A boat goes 57 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  16. 16.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 96 km upstream and come back?
  17. 17.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 110 m and 165 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  19. 19.Two trains, 150 m and 50 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  20. 20.Two trains, 90 m and 85 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  21. 21.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 104 km upstream and come back?
  22. 22.Two trains, 50 m and 265 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?
  23. 23.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  24. 24.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  26. 26.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  27. 27.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  28. 28.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  30. 30.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  32. 32.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  33. 33.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 90 m and 70 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?
  35. 35.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  36. 36.Two trains, 90 m and 330 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  37. 37.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  38. 38.A boat goes 64 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  40. 40.Two trains, 250 m and 70 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?

Answer key

  1. 26
  2. 11
  3. 16
  4. 200
  5. 7
  6. 6
  7. 180
  8. 32
  9. 23
  10. 10
  11. 30
  12. 90
  13. 3
  14. 10
  15. 540
  16. 40
  17. 17
  18. 11
  19. 8
  20. 5
  21. 30
  22. 7
  23. 26
  24. 12
  25. 29
  26. 140
  27. 270
  28. 14
  29. 28
  30. 7
  31. 130
  32. 24
  33. 30
  34. 4
  35. 12
  36. 12
  37. 28
  38. 2
  39. 29
  40. 8

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