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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 698 · 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 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  3. 3.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  5. 5.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  6. 6.A boat goes 54 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 180 m and 360 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?
  9. 9.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  10. 10.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  12. 12.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  13. 13.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  14. 14.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  15. 15.Two trains, 70 m and 105 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  16. 16.Two trains, 130 m and 140 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?
  17. 17.A boat goes 42 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  19. 19.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  20. 20.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 16 km upstream and come back?
  21. 21.A boat goes 36 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  23. 23.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  24. 24.Two trains, 80 m and 340 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  25. 25.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  26. 26.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  27. 27.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  28. 28.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 56 km upstream and come back?
  31. 31.Two trains, 130 m and 220 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?
  32. 32.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  33. 33.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  34. 34.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  35. 35.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  37. 37.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  38. 38.Two trains, 80 m and 120 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?
  39. 39.Two trains, 60 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?
  40. 40.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 13
  2. 32
  3. 8
  4. 23
  5. 270
  6. 4
  7. 9
  8. 12
  9. 32
  10. 13
  11. 350
  12. 15
  13. 28
  14. 195
  15. 5
  16. 6
  17. 3
  18. 28
  19. 480
  20. 3
  21. 11
  22. 28
  23. 100
  24. 12
  25. 29
  26. 200
  27. 180
  28. 14
  29. 25
  30. 18
  31. 10
  32. 12
  33. 360
  34. 38
  35. 12
  36. 17
  37. 255
  38. 10
  39. 6
  40. 29

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