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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 204 · 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 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  2. 2.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 70 km upstream and come back?
  3. 3.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  4. 4.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  5. 5.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  7. 7.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  8. 8.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 120 m and 265 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  10. 10.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  11. 11.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  12. 12.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  13. 13.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  14. 14.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  15. 15.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  16. 16.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 100 m and 175 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?
  18. 18.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  19. 19.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  20. 20.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes at 14 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?
  22. 22.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  23. 23.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 80 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  25. 25.Two trains, 120 m and 180 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  26. 26.Two trains, 80 m and 145 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?
  27. 27.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  29. 29.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 99 km upstream and come back?
  31. 31.Two trains, 210 m and 70 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?
  32. 32.Two trains, 190 m and 90 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 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  34. 34.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  35. 35.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 15 km upstream and come back?
  36. 36.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  37. 37.Two trains, 50 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?
  38. 38.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  39. 39.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 50 m and 280 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?

Answer key

  1. 23
  2. 42
  3. 580
  4. 39
  5. 29
  6. 23
  7. 33
  8. 20
  9. 11
  10. 29
  11. 90
  12. 130
  13. 28
  14. 150
  15. 25
  16. 11
  17. 11
  18. 270
  19. 24
  20. 23
  21. 14
  22. 24
  23. 20
  24. 5
  25. 12
  26. 5
  27. 30
  28. 100
  29. 21
  30. 44
  31. 8
  32. 8
  33. 33
  34. 175
  35. 6
  36. 280
  37. 6
  38. 345
  39. 19
  40. 11

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