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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 497 · 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 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  3. 3.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  5. 5.Two trains, 130 m and 350 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?
  6. 6.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 60 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 180 m and 95 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?
  11. 11.Two trains, 130 m and 150 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?
  12. 12.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  13. 13.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  15. 15.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  16. 16.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 125 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  20. 20.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  21. 21.Two trains, 180 m and 60 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?
  22. 22.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?
  23. 23.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  24. 24.Two trains, 80 m and 120 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  25. 25.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  26. 26.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  27. 27.A boat goes 26 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  28. 28.Two trains, 120 m and 105 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?
  29. 29.Two trains, 50 m and 75 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?
  30. 30.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 150 m and 70 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?
  32. 32.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  33. 33.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 84 km upstream and come back?
  34. 34.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  35. 35.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  36. 36.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  37. 37.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  38. 38.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  39. 39.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  40. 40.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?

Answer key

  1. 17
  2. 270
  3. 20
  4. 30
  5. 12
  6. 22
  7. 9
  8. 1
  9. 24
  10. 11
  11. 8
  12. 21
  13. 11
  14. 38
  15. 240
  16. 14
  17. 5
  18. 21
  19. 29
  20. 390
  21. 6
  22. 26
  23. 16
  24. 4
  25. 18
  26. 32
  27. 1
  28. 9
  29. 5
  30. 8
  31. 11
  32. 18
  33. 35
  34. 28
  35. 26
  36. 400
  37. 27
  38. 33
  39. 17
  40. 18

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