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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 255 · 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 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?
  2. 2.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 90 km upstream and come back?
  3. 3.Two trains, 240 m and 90 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  4. 4.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  5. 5.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.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)?
  7. 7.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  8. 8.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  9. 9.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  10. 10.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  11. 11.Two trains, 50 m and 195 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  12. 12.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 108 km upstream and come back?
  13. 13.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?
  14. 14.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  17. 17.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  18. 18.Two trains, 190 m and 55 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  19. 19.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  20. 20.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  21. 21.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 57 km upstream and come back?
  22. 22.A boat goes 42 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)?
  23. 23.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 13 km upstream and come back?
  24. 24.Two trains, 90 m and 85 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  25. 25.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 36 km upstream and come back?
  26. 26.Two trains, 60 m and 190 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?
  27. 27.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  30. 30.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  31. 31.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  32. 32.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 64 km upstream and come back?
  34. 34.Two trains, 120 m and 60 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?
  35. 35.Two trains, 50 m and 265 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?
  36. 36.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  37. 37.Two trains, 80 m and 320 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?
  38. 38.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  39. 39.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  40. 40.Two trains, 100 m and 340 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?

Answer key

  1. 14
  2. 18
  3. 11
  4. 330
  5. 17
  6. 15
  7. 75
  8. 29
  9. 375
  10. 33
  11. 7
  12. 24
  13. 7
  14. 9
  15. 18
  16. 225
  17. 36
  18. 7
  19. 35
  20. 260
  21. 22
  22. 10
  23. 14
  24. 5
  25. 15
  26. 10
  27. 16
  28. 6
  29. 36
  30. 15
  31. 38
  32. 29
  33. 20
  34. 9
  35. 9
  36. 5
  37. 8
  38. 35
  39. 24
  40. 11

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