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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 228 · 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 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  2. 2.A boat goes 50 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  4. 4.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  5. 5.A boat goes 69 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  7. 7.A boat goes 46 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  13. 13.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  14. 14.Two trains, 90 m and 180 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?
  15. 15.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  17. 17.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  19. 19.Two trains, 140 m and 160 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?
  20. 20.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 84 km upstream and come back?
  21. 21.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  22. 22.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  23. 23.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  24. 24.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  25. 25.Two trains, 120 m and 200 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?
  26. 26.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 56 km upstream and come back?
  28. 28.A boat goes 30 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.Two trains, 80 m and 70 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?
  30. 30.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 96 km upstream and come back?
  31. 31.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)?
  32. 32.Two trains, 140 m and 60 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?
  33. 33.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  34. 34.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  35. 35.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  36. 36.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  37. 37.A boat goes at 13 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?
  38. 38.A boat goes 22 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)?
  39. 39.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 72 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 400
  2. 8
  3. 24
  4. 110
  5. 19
  6. 17
  7. 4
  8. 11
  9. 30
  10. 6
  11. 27
  12. 15
  13. 475
  14. 9
  15. 13
  16. 110
  17. 27
  18. 540
  19. 12
  20. 16
  21. 520
  22. 500
  23. 30
  24. 29
  25. 8
  26. 14
  27. 32
  28. 10
  29. 6
  30. 20
  31. 17
  32. 10
  33. 30
  34. 12
  35. 34
  36. 23
  37. 26
  38. 9
  39. 8
  40. 17

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