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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 891 · 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, 160 m and 80 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?
  2. 2.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  3. 3.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 130 m and 365 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?
  5. 5.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  6. 6.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  7. 7.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  9. 9.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  12. 12.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  13. 13.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  14. 14.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  15. 15.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  16. 16.A boat goes 48 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)?
  17. 17.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  18. 18.A boat goes 64 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  19. 19.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?
  20. 20.Two trains, 80 m and 80 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?
  21. 21.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  22. 22.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  24. 24.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  25. 25.Two trains, 100 m and 100 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?
  26. 26.A boat goes 32 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  28. 28.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  30. 30.A boat goes 110 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  32. 32.Two trains, 90 m and 190 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?
  33. 33.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  34. 34.Two trains, 190 m and 60 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 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  36. 36.Two trains, 90 m and 225 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?
  37. 37.Two trains, 50 m and 175 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 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  39. 39.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?

Answer key

  1. 8
  2. 250
  3. 28
  4. 11
  5. 220
  6. 475
  7. 7
  8. 435
  9. 21
  10. 7
  11. 38
  12. 21
  13. 520
  14. 36
  15. 190
  16. 15
  17. 34
  18. 4
  19. 11
  20. 4
  21. 34
  22. 19
  23. 42
  24. 60
  25. 10
  26. 13
  27. 29
  28. 14
  29. 270
  30. 4
  31. 16
  32. 7
  33. 25
  34. 10
  35. 32
  36. 7
  37. 9
  38. 20
  39. 13
  40. 20

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