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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 480 · 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 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  2. 2.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  3. 3.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  4. 4.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?
  5. 5.Two trains, 150 m and 125 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?
  6. 6.Two trains, 130 m and 80 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?
  7. 7.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  9. 9.Two trains, 120 m and 195 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?
  10. 10.A boat goes 14 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)?
  11. 11.Two trains, 100 m and 180 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?
  12. 12.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  13. 13.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  14. 14.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  15. 15.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  16. 16.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  17. 17.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  18. 18.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  20. 20.Two trains, 100 m and 220 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  21. 21.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  22. 22.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  23. 23.Two trains, 210 m and 270 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?
  24. 24.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  25. 25.Two trains, 220 m and 60 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?
  26. 26.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  28. 28.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  29. 29.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  30. 30.Two trains, 130 m and 290 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?
  31. 31.Two trains, 140 m and 135 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?
  32. 32.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  33. 33.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  34. 34.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  35. 35.A train 150 m long runs at 36 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 9 seconds. How long is the train (in metres)?
  37. 37.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 150 m and 180 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?
  40. 40.A boat goes at 19 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?

Answer key

  1. 14
  2. 32
  3. 210
  4. 18
  5. 11
  6. 6
  7. 29
  8. 26
  9. 9
  10. 6
  11. 7
  12. 180
  13. 180
  14. 110
  15. 16
  16. 32
  17. 200
  18. 6
  19. 28
  20. 8
  21. 28
  22. 22
  23. 12
  24. 160
  25. 8
  26. 15
  27. 180
  28. 18
  29. 360
  30. 12
  31. 11
  32. 80
  33. 13
  34. 30
  35. 15
  36. 90
  37. 26
  38. 27
  39. 11
  40. 19

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