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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 84 · 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.

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  1. 1.Two trains, 60 m and 185 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?
  2. 2.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 90 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?
  4. 4.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 45 km upstream and come back?
  5. 5.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 36 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  8. 8.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.Two trains, 60 m and 150 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?
  13. 13.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 16 km upstream and come back?
  14. 14.Two trains, 110 m and 250 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?
  15. 15.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  16. 16.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  17. 17.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 84 km upstream and come back?
  18. 18.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  19. 19.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  21. 21.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  23. 23.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  24. 24.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  26. 26.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  27. 27.A boat goes 36 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  29. 29.Two trains, 150 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?
  30. 30.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  31. 31.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  32. 32.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  33. 33.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  34. 34.Two trains, 60 m and 240 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?
  35. 35.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  36. 36.A boat goes 39 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  38. 38.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 140 m and 245 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?
  40. 40.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?

Answer key

  1. 7
  2. 10
  3. 5
  4. 50
  5. 23
  6. 16
  7. 360
  8. 17
  9. 6
  10. 16
  11. 10
  12. 7
  13. 3
  14. 9
  15. 600
  16. 540
  17. 48
  18. 23
  19. 28
  20. 13
  21. 24
  22. 23
  23. 39
  24. 29
  25. 25
  26. 21
  27. 10
  28. 440
  29. 10
  30. 13
  31. 31
  32. 22
  33. 90
  34. 12
  35. 22
  36. 4
  37. 23
  38. 9
  39. 11
  40. 16

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