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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 375 · 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 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 75 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.Two trains, 200 m and 70 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?
  4. 4.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  5. 5.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  6. 6.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 27 km upstream and come back?
  8. 8.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  9. 9.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.Two trains, 100 m and 80 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?
  11. 11.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  12. 12.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  13. 13.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  14. 14.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  15. 15.A boat goes 72 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.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 48 km upstream and come back?
  17. 17.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  18. 18.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 96 km upstream and come back?
  19. 19.Two trains, 100 m and 215 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?
  20. 20.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  21. 21.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  22. 22.Two trains, 120 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?
  23. 23.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  24. 24.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?
  25. 25.A boat goes 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  27. 27.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?
  28. 28.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  29. 29.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  30. 30.Two trains, 100 m and 125 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?
  31. 31.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  34. 34.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  35. 35.Two trains, 70 m and 470 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?
  36. 36.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 36 km upstream and come back?
  37. 37.A boat goes 26 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 50 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?

Answer key

  1. 27
  2. 11
  3. 6
  4. 30
  5. 120
  6. 21
  7. 30
  8. 28
  9. 7
  10. 9
  11. 19
  12. 33
  13. 405
  14. 210
  15. 4
  16. 20
  17. 24
  18. 20
  19. 9
  20. 19
  21. 34
  22. 8
  23. 16
  24. 22
  25. 12
  26. 725
  27. 14
  28. 350
  29. 45
  30. 5
  31. 21
  32. 15
  33. 26
  34. 16
  35. 12
  36. 8
  37. 2
  38. 20
  39. 9
  40. 650

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