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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 404 · 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.

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  1. 1.Two trains, 150 m and 210 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  2. 2.A boat goes 68 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.Two trains, 200 m and 75 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?
  4. 4.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  5. 5.Two trains, 200 m and 70 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?
  6. 6.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  7. 7.Two trains, 70 m and 90 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?
  8. 8.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  12. 12.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  13. 13.A boat goes 84 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 120 m and 125 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?
  16. 16.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  18. 18.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  19. 19.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 210 m and 70 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?
  21. 21.Two trains, 80 m and 70 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?
  22. 22.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  23. 23.Two trains, 90 m and 260 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?
  24. 24.A boat goes 24 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  27. 27.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  28. 28.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  30. 30.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  31. 31.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  32. 32.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  33. 33.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 80 km upstream and come back?
  34. 34.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  35. 35.A boat goes 55 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 29 km upstream and come back?
  37. 37.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  38. 38.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  39. 39.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  40. 40.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 72 km upstream and come back?

Answer key

  1. 12
  2. 12
  3. 11
  4. 14
  5. 6
  6. 285
  7. 4
  8. 22
  9. 14
  10. 14
  11. 70
  12. 34
  13. 3
  14. 24
  15. 7
  16. 27
  17. 525
  18. 37
  19. 27
  20. 8
  21. 5
  22. 405
  23. 10
  24. 10
  25. 26
  26. 32
  27. 32
  28. 7
  29. 90
  30. 32
  31. 22
  32. 14
  33. 18
  34. 25
  35. 2
  36. 30
  37. 14
  38. 16
  39. 17
  40. 9

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