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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 198 · 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 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  3. 3.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 60 km upstream and come back?
  4. 4.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  5. 5.Two trains, 150 m and 60 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?
  6. 6.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 105 km upstream and come back?
  7. 7.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 72 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  10. 10.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 60 m and 90 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?
  12. 12.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  13. 13.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 93 km upstream and come back?
  14. 14.Two trains, 150 m and 60 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?
  15. 15.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  16. 16.A boat goes at 18 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 27 km upstream and come back?
  17. 17.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 120 km upstream and come back?
  18. 18.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  19. 19.Two trains, 200 m and 50 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?
  20. 20.Two trains, 100 m and 75 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?
  21. 21.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  22. 22.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 230 m and 130 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?
  24. 24.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 16 km upstream and come back?
  25. 25.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 99 km upstream and come back?
  26. 26.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?
  27. 27.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  28. 28.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  30. 30.Two trains, 60 m and 360 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?
  31. 31.Two trains, 180 m and 120 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?
  32. 32.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  33. 33.A train 240 m long runs at 72 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 10 km/h. How many hours does the boat take to go 24 km upstream and come back?
  35. 35.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 48 km upstream and come back?
  36. 36.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  38. 38.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  39. 39.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?

Answer key

  1. 15
  2. 43
  3. 11
  4. 22
  5. 6
  6. 110
  7. 22
  8. 14
  9. 475
  10. 25
  11. 6
  12. 70
  13. 96
  14. 6
  15. 15
  16. 4
  17. 35
  18. 28
  19. 10
  20. 5
  21. 24
  22. 7
  23. 12
  24. 10
  25. 36
  26. 9
  27. 28
  28. 16
  29. 41
  30. 12
  31. 12
  32. 575
  33. 12
  34. 7
  35. 27
  36. 14
  37. 21
  38. 420
  39. 29
  40. 39

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