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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 106 · 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.Two trains, 80 m and 280 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 train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  4. 4.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 17 km upstream and come back?
  5. 5.Two trains, 50 m and 250 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?
  6. 6.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  7. 7.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  8. 8.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  10. 10.Two trains, 130 m and 220 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?
  11. 11.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  13. 13.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  14. 14.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 32 km upstream and come back?
  15. 15.A boat goes 33 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  18. 18.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  19. 19.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  20. 20.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  21. 21.Two trains, 150 m and 130 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?
  22. 22.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  23. 23.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  24. 24.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  25. 25.A boat goes 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  26. 26.Two trains, 70 m and 50 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?
  27. 27.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  29. 29.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.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 36 km upstream and come back?
  31. 31.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  33. 33.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 160 m and 335 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?
  35. 35.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  36. 36.Two trains, 250 m and 190 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?
  37. 37.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  38. 38.A boat goes 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  40. 40.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?

Answer key

  1. 12
  2. 9
  3. 300
  4. 18
  5. 6
  6. 29
  7. 500
  8. 15
  9. 24
  10. 10
  11. 7
  12. 13
  13. 15
  14. 20
  15. 4
  16. 24
  17. 35
  18. 33
  19. 27
  20. 165
  21. 8
  22. 28
  23. 120
  24. 34
  25. 2
  26. 4
  27. 21
  28. 560
  29. 16
  30. 11
  31. 15
  32. 41
  33. 27
  34. 11
  35. 26
  36. 11
  37. 30
  38. 3
  39. 230
  40. 18

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