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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 9 · 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 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 60 km upstream and come back?
  2. 2.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  3. 3.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  4. 4.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 12 km upstream and come back?
  5. 5.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 50 km upstream and come back?
  8. 8.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  9. 9.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  11. 11.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  12. 12.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  13. 13.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  14. 14.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  15. 15.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  16. 16.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  20. 20.A boat goes 65 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  23. 23.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  24. 24.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  25. 25.Two trains, 50 m and 150 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  26. 26.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  27. 27.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  29. 29.Two trains, 50 m and 190 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?
  30. 30.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 78 km upstream and come back?
  31. 31.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 70 km upstream and come back?
  32. 32.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  33. 33.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 54 km upstream and come back?
  34. 34.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 250 m and 70 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?
  36. 36.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 60 m and 255 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?
  39. 39.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?

Answer key

  1. 11
  2. 29
  3. 10
  4. 4
  5. 6
  6. 11
  7. 12
  8. 27
  9. 17
  10. 38
  11. 180
  12. 35
  13. 45
  14. 16
  15. 260
  16. 10
  17. 24
  18. 21
  19. 375
  20. 5
  21. 7
  22. 42
  23. 17
  24. 42
  25. 8
  26. 36
  27. 19
  28. 135
  29. 12
  30. 84
  31. 72
  32. 550
  33. 12
  34. 22
  35. 8
  36. 20
  37. 25
  38. 7
  39. 13
  40. 16

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