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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 981 · 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 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  2. 2.A boat goes 48 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  3. 3.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 75 km upstream and come back?
  4. 4.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  6. 6.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  7. 7.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  8. 8.A boat goes 63 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  10. 10.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.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 38 km upstream and come back?
  12. 12.A boat goes 55 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)?
  13. 13.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  15. 15.A boat goes 24 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes 65 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.Two trains, 160 m and 85 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?
  18. 18.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.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 81 km upstream and come back?
  22. 22.Two trains, 60 m and 65 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?
  23. 23.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  25. 25.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  26. 26.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 96 km upstream and come back?
  27. 27.Two trains, 110 m and 210 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?
  28. 28.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  29. 29.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  32. 32.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  34. 34.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  35. 35.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  37. 37.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  39. 39.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 140 m and 70 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?

Answer key

  1. 33
  2. 2
  3. 78
  4. 7
  5. 39
  6. 28
  7. 32
  8. 18
  9. 14
  10. 29
  11. 40
  12. 9
  13. 27
  14. 9
  15. 11
  16. 9
  17. 7
  18. 5
  19. 23
  20. 21
  21. 36
  22. 5
  23. 5
  24. 32
  25. 120
  26. 36
  27. 8
  28. 16
  29. 28
  30. 12
  31. 23
  32. 7
  33. 23
  34. 38
  35. 25
  36. 10
  37. 27
  38. 38
  39. 15
  40. 6

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