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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 774 · 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 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 45 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A boat goes 100 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  8. 8.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  9. 9.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  11. 11.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  12. 12.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  13. 13.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  15. 15.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 63 km upstream and come back?
  16. 16.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?
  17. 17.A boat goes 22 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  20. 20.A boat goes 42 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  22. 22.A boat goes 92 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.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 48 km upstream and come back?
  24. 24.Two trains, 250 m and 80 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?
  25. 25.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  26. 26.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  27. 27.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  28. 28.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 19 km upstream and come back?
  29. 29.A boat goes 80 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  30. 30.Two trains, 60 m and 390 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?
  31. 31.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  32. 32.Two trains, 70 m and 175 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?
  33. 33.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  34. 34.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  35. 35.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  37. 37.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  38. 38.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.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?

Answer key

  1. 30
  2. 29
  3. 5
  4. 15
  5. 14
  6. 3
  7. 43
  8. 28
  9. 27
  10. 21
  11. 30
  12. 39
  13. 23
  14. 2
  15. 30
  16. 6
  17. 8
  18. 7
  19. 43
  20. 17
  21. 290
  22. 18
  23. 28
  24. 11
  25. 16
  26. 90
  27. 280
  28. 20
  29. 2
  30. 10
  31. 23
  32. 7
  33. 43
  34. 28
  35. 19
  36. 110
  37. 21
  38. 11
  39. 22
  40. 14

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