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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 112 · 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, 130 m and 150 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  2. 2.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 48 km upstream and come back?
  3. 3.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  4. 4.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  6. 6.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 80 m and 165 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?
  9. 9.Two trains, 50 m and 90 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?
  10. 10.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 36 km upstream and come back?
  11. 11.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  12. 12.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 102 km upstream and come back?
  15. 15.Two trains, 140 m and 85 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, 60 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?
  17. 17.Two trains, 60 m and 150 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?
  18. 18.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  20. 20.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  21. 21.A boat goes 60 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.Two trains, 250 m and 65 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?
  23. 23.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  24. 24.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 60 km upstream and come back?
  25. 25.Two trains, 130 m and 200 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?
  26. 26.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  27. 27.Two trains, 240 m and 120 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?
  28. 28.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 210 m and 210 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?
  30. 30.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  32. 32.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  33. 33.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)?
  34. 34.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  35. 35.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  36. 36.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.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 26 km upstream and come back?
  38. 38.Two trains, 190 m and 110 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?
  39. 39.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  40. 40.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?

Answer key

  1. 7
  2. 11
  3. 36
  4. 24
  5. 36
  6. 30
  7. 16
  8. 7
  9. 4
  10. 20
  11. 200
  12. 30
  13. 25
  14. 40
  15. 5
  16. 8
  17. 6
  18. 7
  19. 29
  20. 22
  21. 17
  22. 7
  23. 175
  24. 36
  25. 11
  26. 15
  27. 12
  28. 29
  29. 12
  30. 5
  31. 60
  32. 250
  33. 1
  34. 27
  35. 9
  36. 29
  37. 28
  38. 12
  39. 38
  40. 150

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