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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 833 · 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 110 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  3. 3.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  5. 5.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?
  6. 6.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  7. 7.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  8. 8.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  9. 9.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  10. 10.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  11. 11.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  12. 12.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  13. 13.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  14. 14.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 72 km upstream and come back?
  15. 15.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 96 km upstream and come back?
  16. 16.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  17. 17.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 60 m and 340 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  19. 19.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  20. 20.Two trains, 110 m and 130 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?
  21. 21.Two trains, 60 m and 210 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?
  22. 22.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes 60 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)?
  24. 24.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  26. 26.Two trains, 230 m and 155 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?
  27. 27.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  28. 28.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  29. 29.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  30. 30.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  31. 31.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?
  32. 32.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  34. 34.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  35. 35.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.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?
  37. 37.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  39. 39.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  40. 40.A boat goes 69 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 20
  2. 27
  3. 14
  4. 19
  5. 26
  6. 140
  7. 75
  8. 37
  9. 18
  10. 43
  11. 250
  12. 39
  13. 21
  14. 80
  15. 36
  16. 480
  17. 21
  18. 10
  19. 21
  20. 8
  21. 9
  22. 8
  23. 10
  24. 16
  25. 18
  26. 11
  27. 150
  28. 210
  29. 24
  30. 21
  31. 13
  32. 20
  33. 19
  34. 200
  35. 15
  36. 20
  37. 12
  38. 450
  39. 15
  40. 3

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