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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 469 · 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 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.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 114 km upstream and come back?
  4. 4.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  6. 6.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  8. 8.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 20 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  11. 11.Two trains, 60 m and 300 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?
  12. 12.Two trains, 160 m and 190 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?
  13. 13.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  14. 14.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 88 km upstream and come back?
  16. 16.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  17. 17.Two trains, 70 m and 290 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  18. 18.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  20. 20.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  21. 21.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  22. 22.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  23. 23.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  24. 24.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  25. 25.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  26. 26.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  27. 27.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  28. 28.Two trains, 240 m and 300 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?
  29. 29.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  30. 30.Two trains, 130 m and 140 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  31. 31.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  32. 32.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  33. 33.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  34. 34.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  35. 35.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 130 m and 70 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?
  37. 37.Two trains, 60 m and 160 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?
  38. 38.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  39. 39.Two trains, 180 m and 120 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?
  40. 40.Two trains, 140 m and 60 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?

Answer key

  1. 2
  2. 9
  3. 44
  4. 24
  5. 250
  6. 6
  7. 220
  8. 10
  9. 8
  10. 27
  11. 12
  12. 10
  13. 25
  14. 10
  15. 55
  16. 130
  17. 12
  18. 21
  19. 340
  20. 34
  21. 17
  22. 38
  23. 29
  24. 29
  25. 26
  26. 29
  27. 28
  28. 12
  29. 22
  30. 9
  31. 28
  32. 650
  33. 13
  34. 100
  35. 29
  36. 10
  37. 11
  38. 580
  39. 10
  40. 8

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