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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 239 · 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, 60 m and 270 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?
  2. 2.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  4. 4.Two trains, 90 m and 120 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?
  5. 5.Two trains, 50 m and 400 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  6. 6.Two trains, 50 m and 170 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?
  7. 7.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.Two trains, 110 m and 390 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?
  9. 9.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  10. 10.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  11. 11.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  12. 12.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  13. 13.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  14. 14.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  15. 15.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 72 km upstream and come back?
  16. 16.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 30 km upstream and come back?
  17. 17.Two trains, 160 m and 160 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?
  18. 18.Two trains, 140 m and 245 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?
  19. 19.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.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?
  21. 21.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  22. 22.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  23. 23.A boat goes 26 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  25. 25.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 51 km upstream and come back?
  26. 26.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 24 km upstream and come back?
  27. 27.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 72 km/h passes a pole in 7 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 140 m long?
  31. 31.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  32. 32.Two trains, 150 m and 330 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?
  33. 33.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  36. 36.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  38. 38.A boat goes 85 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  39. 39.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  40. 40.Two trains, 70 m and 170 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?

Answer key

  1. 11
  2. 11
  3. 24
  4. 7
  5. 10
  6. 11
  7. 8
  8. 10
  9. 180
  10. 40
  11. 11
  12. 39
  13. 16
  14. 190
  15. 22
  16. 12
  17. 8
  18. 11
  19. 29
  20. 6
  21. 22
  22. 34
  23. 11
  24. 225
  25. 20
  26. 5
  27. 17
  28. 11
  29. 140
  30. 21
  31. 125
  32. 12
  33. 22
  34. 5
  35. 20
  36. 20
  37. 540
  38. 2
  39. 100
  40. 6

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