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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 565 · 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 train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  2. 2.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  3. 3.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 90 km upstream and come back?
  4. 4.Two trains, 50 m and 150 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?
  5. 5.A boat goes 30 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  7. 7.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  9. 9.Two trains, 170 m and 230 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?
  10. 10.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  11. 11.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  12. 12.A boat goes at 18 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 108 km upstream and come back?
  13. 13.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 84 km upstream and come back?
  14. 14.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?
  15. 15.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  18. 18.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 65 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.Two trains, 60 m and 540 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?
  23. 23.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  24. 24.Two trains, 50 m and 130 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?
  25. 25.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  27. 27.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  28. 28.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  29. 29.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  30. 30.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  31. 31.A boat goes 50 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  33. 33.Two trains, 50 m and 70 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?
  34. 34.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 230 m and 130 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.Two trains, 190 m and 90 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?
  38. 38.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  39. 39.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?

Answer key

  1. 450
  2. 30
  3. 12
  4. 8
  5. 11
  6. 625
  7. 9
  8. 420
  9. 10
  10. 19
  11. 15
  12. 16
  13. 49
  14. 20
  15. 16
  16. 11
  17. 23
  18. 1
  19. 11
  20. 13
  21. 9
  22. 12
  23. 38
  24. 9
  25. 9
  26. 27
  27. 43
  28. 230
  29. 110
  30. 725
  31. 5
  32. 120
  33. 4
  34. 10
  35. 28
  36. 12
  37. 7
  38. 750
  39. 16
  40. 39

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