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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 95 · 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, 230 m and 85 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?
  2. 2.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  4. 4.Two trains, 130 m and 310 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  5. 5.Two trains, 90 m and 230 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?
  6. 6.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  7. 7.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  8. 8.Two trains, 230 m and 70 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?
  9. 9.Two trains, 70 m and 55 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?
  10. 10.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)?
  11. 11.Two trains, 50 m and 430 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?
  12. 12.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 13 km upstream and come back?
  13. 13.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  14. 14.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.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?
  16. 16.Two trains, 50 m and 190 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?
  17. 17.Two trains, 70 m and 205 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?
  18. 18.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  19. 19.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  20. 20.A boat goes 36 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 44 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 36 km upstream and come back?
  24. 24.Two trains, 180 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?
  25. 25.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 78 km upstream and come back?
  26. 26.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  27. 27.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  28. 28.Two trains, 160 m and 155 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?
  29. 29.Two trains, 90 m and 350 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?
  30. 30.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  31. 31.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.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 96 km upstream and come back?
  33. 33.Two trains, 50 m and 300 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?
  34. 34.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  35. 35.A boat goes 65 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  36. 36.Two trains, 70 m and 230 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?
  37. 37.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  38. 38.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 120 km upstream and come back?
  39. 39.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  40. 40.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?

Answer key

  1. 9
  2. 20
  3. 300
  4. 11
  5. 8
  6. 29
  7. 130
  8. 10
  9. 5
  10. 1
  11. 12
  12. 14
  13. 450
  14. 30
  15. 4
  16. 8
  17. 11
  18. 20
  19. 24
  20. 15
  21. 8
  22. 2
  23. 8
  24. 11
  25. 42
  26. 23
  27. 40
  28. 9
  29. 11
  30. 11
  31. 8
  32. 28
  33. 10
  34. 17
  35. 3
  36. 10
  37. 16
  38. 34
  39. 32
  40. 17

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