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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 250 · 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 running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  2. 2.Two trains, 100 m and 140 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?
  3. 3.Two trains, 120 m and 80 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?
  4. 4.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  5. 5.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  7. 7.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  8. 8.Two trains, 120 m and 195 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?
  9. 9.A boat goes 88 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  12. 12.Two trains, 220 m and 260 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  13. 13.Two trains, 60 m and 165 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?
  14. 14.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  15. 15.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.Two trains, 190 m and 55 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?
  17. 17.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  18. 18.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  21. 21.A boat goes 45 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A boat goes 90 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  23. 23.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  24. 24.Two trains, 120 m and 90 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?
  25. 25.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  27. 27.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  30. 30.A boat goes 85 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  32. 32.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  33. 33.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 42 km upstream and come back?
  35. 35.Two trains, 70 m and 50 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?
  36. 36.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  38. 38.Two trains, 140 m and 300 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?
  39. 39.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  40. 40.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?

Answer key

  1. 725
  2. 8
  3. 8
  4. 16
  5. 27
  6. 320
  7. 38
  8. 9
  9. 19
  10. 28
  11. 21
  12. 12
  13. 9
  14. 25
  15. 24
  16. 7
  17. 16
  18. 10
  19. 9
  20. 16
  21. 10
  22. 1
  23. 450
  24. 7
  25. 14
  26. 17
  27. 2
  28. 8
  29. 36
  30. 13
  31. 100
  32. 70
  33. 17
  34. 8
  35. 6
  36. 5
  37. 15
  38. 11
  39. 35
  40. 575

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