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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 561 · 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 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 48 km upstream and come back?
  2. 2.A boat goes 72 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  3. 3.Two trains, 130 m and 310 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?
  4. 4.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 130 m and 50 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  6. 6.A boat goes 32 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  8. 8.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  9. 9.A boat goes 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A boat goes 54 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  12. 12.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  13. 13.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  14. 14.Two trains, 200 m and 70 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?
  15. 15.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  16. 16.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  17. 17.A boat goes 57 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  19. 19.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 42 km upstream and come back?
  20. 20.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  21. 21.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 110 m and 70 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  23. 23.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  25. 25.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  28. 28.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 220 m and 55 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?
  30. 30.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?
  31. 31.Two trains, 250 m and 200 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?
  32. 32.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  33. 33.Two trains, 170 m and 330 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?
  34. 34.A boat goes 30 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  36. 36.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 32 km upstream and come back?
  37. 37.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  38. 38.A boat goes 84 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?

Answer key

  1. 20
  2. 3
  3. 11
  4. 6
  5. 9
  6. 14
  7. 175
  8. 450
  9. 12
  10. 15
  11. 380
  12. 23
  13. 26
  14. 9
  15. 240
  16. 29
  17. 5
  18. 22
  19. 8
  20. 37
  21. 28
  22. 6
  23. 8
  24. 41
  25. 9
  26. 20
  27. 21
  28. 17
  29. 11
  30. 18
  31. 9
  32. 70
  33. 10
  34. 11
  35. 260
  36. 6
  37. 280
  38. 5
  39. 18
  40. 360

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