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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 10 · 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 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  3. 3.A boat goes at 16 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 96 km upstream and come back?
  4. 4.Two trains, 120 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?
  5. 5.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  6. 6.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  7. 7.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 48 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 51 km upstream and come back?
  10. 10.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  11. 11.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 108 km upstream and come back?
  13. 13.Two trains, 120 m and 430 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?
  14. 14.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  16. 16.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  20. 20.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  21. 21.Two trains, 160 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?
  22. 22.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  23. 23.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.Two trains, 210 m and 90 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?
  25. 25.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  26. 26.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  28. 28.Two trains, 160 m and 280 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?
  29. 29.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  30. 30.Two trains, 60 m and 210 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?
  31. 31.A boat goes 40 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.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?
  34. 34.Two trains, 100 m and 320 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?
  35. 35.A train 200 m long runs at 36 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 5 km/h. How many hours does the boat take to go 20 km upstream and come back?
  37. 37.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  38. 38.A boat goes at 20 km/h in still water. The river flows at 19 km/h. How many hours does the boat take to go 78 km upstream and come back?
  39. 39.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  40. 40.A boat goes 48 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 30
  2. 270
  3. 16
  4. 7
  5. 105
  6. 29
  7. 17
  8. 7
  9. 20
  10. 275
  11. 7
  12. 33
  13. 11
  14. 3
  15. 24
  16. 24
  17. 1
  18. 11
  19. 19
  20. 33
  21. 12
  22. 18
  23. 22
  24. 10
  25. 12
  26. 26
  27. 31
  28. 11
  29. 18
  30. 6
  31. 1
  32. 11
  33. 18
  34. 12
  35. 20
  36. 3
  37. 405
  38. 80
  39. 28
  40. 1

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