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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 466 · 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 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 120 km upstream and come back?
  2. 2.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 66 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A boat goes 42 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  7. 7.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  8. 8.A boat goes 40 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  10. 10.Two trains, 50 m and 220 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?
  11. 11.Two trains, 220 m and 165 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?
  12. 12.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  13. 13.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 36 km upstream and come back?
  14. 14.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 36 km upstream and come back?
  17. 17.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  18. 18.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  19. 19.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  20. 20.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes at 20 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 111 km upstream and come back?
  24. 24.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  25. 25.A boat goes 38 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A boat goes 72 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.Two trains, 70 m and 280 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  28. 28.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  29. 29.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  30. 30.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  32. 32.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)?
  33. 33.A boat goes 64 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  35. 35.A boat goes at 19 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 105 km upstream and come back?
  36. 36.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  37. 37.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 100 km upstream and come back?
  38. 38.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  39. 39.A boat goes 32 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  40. 40.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?

Answer key

  1. 70
  2. 16
  3. 8
  4. 20
  5. 5
  6. 280
  7. 35
  8. 3
  9. 360
  10. 9
  11. 11
  12. 300
  13. 12
  14. 20
  15. 27
  16. 8
  17. 14
  18. 24
  19. 13
  20. 1
  21. 21
  22. 20
  23. 40
  24. 33
  25. 18
  26. 13
  27. 10
  28. 220
  29. 315
  30. 11
  31. 13
  32. 2
  33. 12
  34. 90
  35. 38
  36. 18
  37. 60
  38. 475
  39. 2
  40. 17

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