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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 230 · 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 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.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 12 km upstream and come back?
  4. 4.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 26 km upstream and come back?
  5. 5.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  10. 10.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  11. 11.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  13. 13.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 220 m and 130 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  15. 15.Two trains, 130 m and 220 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?
  16. 16.Two trains, 70 m and 140 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  17. 17.Two trains, 230 m and 120 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.Two trains, 210 m and 105 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  19. 19.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  20. 20.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 140 m and 175 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?
  23. 23.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  24. 24.Two trains, 60 m and 150 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 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 120 m and 230 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?
  27. 27.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.Two trains, 80 m and 95 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?
  29. 29.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  30. 30.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  31. 31.Two trains, 90 m and 150 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?
  32. 32.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 105 km upstream and come back?
  33. 33.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  34. 34.Two trains, 70 m and 330 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?
  35. 35.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  36. 36.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  38. 38.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  39. 39.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  40. 40.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?

Answer key

  1. 1
  2. 9
  3. 5
  4. 14
  5. 30
  6. 7
  7. 4
  8. 24
  9. 21
  10. 20
  11. 15
  12. 31
  13. 8
  14. 10
  15. 10
  16. 6
  17. 10
  18. 9
  19. 42
  20. 9
  21. 13
  22. 7
  23. 22
  24. 7
  25. 21
  26. 10
  27. 2
  28. 7
  29. 33
  30. 125
  31. 8
  32. 36
  33. 38
  34. 10
  35. 29
  36. 22
  37. 26
  38. 750
  39. 38
  40. 315

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