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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 994 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A boat goes 66 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.Two trains, 140 m and 70 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?
  3. 3.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  4. 4.Two trains, 140 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?
  5. 5.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  6. 6.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  7. 7.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  8. 8.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  10. 10.A boat goes 76 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  11. 11.Two trains, 200 m and 160 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?
  12. 12.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  13. 13.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  14. 14.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  16. 16.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  17. 17.A boat goes 56 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.Two trains, 130 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?
  19. 19.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  20. 20.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  21. 21.Two trains, 220 m and 140 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?
  22. 22.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  25. 25.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  27. 27.Two trains, 90 m and 270 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?
  28. 28.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  29. 29.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  30. 30.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 84 km upstream and come back?
  31. 31.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  34. 34.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  35. 35.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  36. 36.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 44 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  38. 38.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)?
  39. 39.Two trains, 70 m and 430 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  40. 40.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 5
  2. 6
  3. 500
  4. 11
  5. 22
  6. 44
  7. 29
  8. 25
  9. 675
  10. 4
  11. 9
  12. 29
  13. 27
  14. 18
  15. 19
  16. 325
  17. 12
  18. 8
  19. 30
  20. 26
  21. 9
  22. 6
  23. 16
  24. 120
  25. 29
  26. 42
  27. 8
  28. 270
  29. 42
  30. 40
  31. 16
  32. 17
  33. 34
  34. 13
  35. 38
  36. 22
  37. 3
  38. 1
  39. 10
  40. 7

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