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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 99 · 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.Two trains, 220 m and 140 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?
  2. 2.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  3. 3.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  4. 4.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 56 km upstream and come back?
  5. 5.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  6. 6.Two trains, 220 m and 165 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?
  7. 7.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  8. 8.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  9. 9.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  10. 10.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  11. 11.A boat goes at 17 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 32 km upstream and come back?
  12. 12.A boat goes 45 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  14. 14.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  15. 15.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  16. 16.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  17. 17.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  18. 18.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  19. 19.A boat goes 85 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  21. 21.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  22. 22.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  23. 23.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  25. 25.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  26. 26.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  27. 27.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  28. 28.Two trains, 90 m and 135 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?
  29. 29.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  30. 30.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  31. 31.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  32. 32.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  33. 33.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 130 m and 115 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?
  35. 35.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  36. 36.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  37. 37.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  39. 39.A boat goes 20 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?

Answer key

  1. 9
  2. 22
  3. 14
  4. 21
  5. 560
  6. 11
  7. 16
  8. 340
  9. 26
  10. 27
  11. 17
  12. 10
  13. 90
  14. 40
  15. 18
  16. 45
  17. 230
  18. 21
  19. 1
  20. 27
  21. 38
  22. 32
  23. 6
  24. 24
  25. 260
  26. 420
  27. 24
  28. 5
  29. 37
  30. 520
  31. 500
  32. 26
  33. 5
  34. 7
  35. 405
  36. 700
  37. 1
  38. 18
  39. 8
  40. 50

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