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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 717 · 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 8 seconds. How long is the train (in metres)?
  2. 2.A train 120 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 8 seconds. How long is the train (in metres)?
  4. 4.Two trains, 130 m and 170 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?
  5. 5.A boat goes 36 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  7. 7.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  8. 8.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  9. 9.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 28 km upstream and come back?
  10. 10.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  12. 12.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  13. 13.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  14. 14.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  15. 15.Two trains, 140 m and 100 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?
  16. 16.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  18. 18.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  19. 19.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  20. 20.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  22. 22.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes at 19 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?
  24. 24.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  25. 25.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  26. 26.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  27. 27.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  28. 28.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  30. 30.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  31. 31.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  32. 32.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  33. 33.Two trains, 150 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?
  34. 34.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  36. 36.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  37. 37.A boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 80 km upstream and come back?
  38. 38.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 51 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.Two trains, 230 m and 155 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?

Answer key

  1. 200
  2. 8
  3. 160
  4. 10
  5. 9
  6. 26
  7. 37
  8. 30
  9. 9
  10. 25
  11. 120
  12. 28
  13. 100
  14. 26
  15. 8
  16. 26
  17. 28
  18. 210
  19. 31
  20. 22
  21. 35
  22. 30
  23. 19
  24. 440
  25. 285
  26. 38
  27. 30
  28. 30
  29. 17
  30. 260
  31. 29
  32. 200
  33. 9
  34. 5
  35. 13
  36. 180
  37. 14
  38. 27
  39. 13
  40. 11

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