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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 15 · 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 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  3. 3.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  4. 4.A boat goes 48 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)?
  5. 5.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  6. 6.Two trains, 50 m and 70 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?
  7. 7.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  8. 8.Two trains, 230 m and 120 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?
  9. 9.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 84 km upstream and come back?
  10. 10.A boat goes 42 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)?
  11. 11.Two trains, 110 m and 190 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?
  12. 12.Two trains, 160 m and 200 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?
  13. 13.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  15. 15.Two trains, 70 m and 50 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 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 60 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?
  18. 18.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 50 km upstream and come back?
  20. 20.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  21. 21.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 54 km upstream and come back?
  22. 22.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 26 km upstream and come back?
  25. 25.A boat goes 22 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  27. 27.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  28. 28.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  29. 29.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  30. 30.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  31. 31.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  32. 32.Two trains, 180 m and 370 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?
  33. 33.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  35. 35.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  36. 36.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  37. 37.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  38. 38.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  40. 40.Two trains, 150 m and 210 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?

Answer key

  1. 7
  2. 22
  3. 210
  4. 11
  5. 25
  6. 6
  7. 45
  8. 10
  9. 45
  10. 12
  11. 10
  12. 9
  13. 21
  14. 475
  15. 4
  16. 21
  17. 9
  18. 23
  19. 12
  20. 285
  21. 56
  22. 9
  23. 6
  24. 14
  25. 3
  26. 18
  27. 21
  28. 24
  29. 25
  30. 170
  31. 80
  32. 11
  33. 12
  34. 39
  35. 35
  36. 18
  37. 28
  38. 5
  39. 27
  40. 8

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