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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 123 · 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 running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  2. 2.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 40 km upstream and come back?
  4. 4.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  5. 5.A boat goes 22 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 69 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  9. 9.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 130 m and 230 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?
  11. 11.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  12. 12.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  14. 14.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  15. 15.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?
  16. 16.Two trains, 190 m and 160 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, 170 m and 110 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?
  18. 18.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  19. 19.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  20. 20.Two trains, 70 m and 110 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?
  21. 21.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  22. 22.Two trains, 210 m and 140 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?
  23. 23.Two trains, 180 m and 320 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?
  24. 24.Two trains, 170 m and 80 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?
  25. 25.Two trains, 90 m and 405 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?
  26. 26.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  28. 28.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  29. 29.A boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 120 km upstream and come back?
  30. 30.Two trains, 210 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?
  31. 31.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  32. 32.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  33. 33.A boat goes 45 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  36. 36.A boat goes at 7 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?
  37. 37.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  38. 38.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  39. 39.A boat goes 56 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.Two trains, 130 m and 110 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?

Answer key

  1. 140
  2. 8
  3. 7
  4. 44
  5. 2
  6. 23
  7. 4
  8. 23
  9. 23
  10. 12
  11. 14
  12. 9
  13. 42
  14. 32
  15. 33
  16. 10
  17. 7
  18. 42
  19. 16
  20. 4
  21. 420
  22. 7
  23. 10
  24. 10
  25. 11
  26. 15
  27. 350
  28. 25
  29. 21
  30. 11
  31. 37
  32. 500
  33. 1
  34. 24
  35. 29
  36. 14
  37. 20
  38. 80
  39. 4
  40. 8

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