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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 121 · 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, 210 m and 60 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?
  2. 2.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  3. 3.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  4. 4.A boat goes 30 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  5. 5.Two trains, 80 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?
  6. 6.A boat goes at 17 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  7. 7.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  8. 8.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?
  9. 9.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 15 km upstream and come back?
  11. 11.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  12. 12.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  13. 13.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 50 m and 50 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?
  15. 15.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  16. 16.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  17. 17.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  18. 18.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  21. 21.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.Two trains, 100 m and 285 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?
  23. 23.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  26. 26.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  27. 27.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  28. 28.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  29. 29.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)?
  30. 30.Two trains, 50 m and 300 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?
  31. 31.Two trains, 160 m and 115 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?
  32. 32.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 119 km upstream and come back?
  34. 34.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.Two trains, 140 m and 135 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?
  38. 38.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  40. 40.Two trains, 60 m and 80 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?

Answer key

  1. 6
  2. 23
  3. 17
  4. 1
  5. 12
  6. 17
  7. 28
  8. 12
  9. 13
  10. 16
  11. 210
  12. 26
  13. 9
  14. 5
  15. 7
  16. 38
  17. 29
  18. 23
  19. 1
  20. 32
  21. 9
  22. 11
  23. 10
  24. 14
  25. 140
  26. 255
  27. 41
  28. 165
  29. 1
  30. 10
  31. 11
  32. 15
  33. 126
  34. 12
  35. 16
  36. 14
  37. 11
  38. 11
  39. 360
  40. 4

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