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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 16 · 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 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  3. 3.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  4. 4.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  5. 5.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 55 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  7. 7.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 18 km upstream and come back?
  8. 8.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  9. 9.Two trains, 80 m and 120 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  10. 10.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 72 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.Two trains, 90 m and 130 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?
  15. 15.Two trains, 220 m and 230 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?
  16. 16.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  17. 17.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  18. 18.A boat goes at 17 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 64 km upstream and come back?
  19. 19.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  20. 20.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  21. 21.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  22. 22.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 114 km upstream and come back?
  23. 23.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  25. 25.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  26. 26.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  27. 27.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  28. 28.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  29. 29.A boat goes 36 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.Two trains, 170 m and 55 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?
  31. 31.Two trains, 90 m and 210 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?
  32. 32.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 37 km upstream and come back?
  35. 35.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  36. 36.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  37. 37.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  38. 38.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 50 m and 490 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?
  40. 40.Two trains, 80 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?

Answer key

  1. 13
  2. 31
  3. 80
  4. 12
  5. 8
  6. 4
  7. 8
  8. 30
  9. 5
  10. 9
  11. 23
  12. 15
  13. 9
  14. 11
  15. 10
  16. 18
  17. 28
  18. 34
  19. 21
  20. 225
  21. 36
  22. 120
  23. 20
  24. 35
  25. 14
  26. 460
  27. 150
  28. 33
  29. 15
  30. 9
  31. 10
  32. 16
  33. 16
  34. 38
  35. 450
  36. 28
  37. 33
  38. 23
  39. 12
  40. 8

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