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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 475 · 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 80 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  4. 4.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  5. 5.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  6. 6.A boat goes 63 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  7. 7.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 80 km upstream and come back?
  8. 8.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  11. 11.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  12. 12.Two trains, 90 m and 150 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?
  13. 13.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  14. 14.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.Two trains, 150 m and 50 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?
  17. 17.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)?
  18. 18.Two trains, 50 m and 265 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?
  19. 19.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  20. 20.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  21. 21.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  22. 22.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  23. 23.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 18 km upstream and come back?
  25. 25.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?
  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.A boat goes 90 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  28. 28.A boat goes 52 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.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?
  31. 31.A boat goes 30 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  32. 32.A boat goes 30 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.Two trains, 180 m and 95 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?
  34. 34.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  35. 35.Two trains, 120 m and 105 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?
  36. 36.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  37. 37.Two trains, 250 m and 150 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 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  40. 40.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?

Answer key

  1. 5
  2. 9
  3. 20
  4. 340
  5. 150
  6. 5
  7. 45
  8. 16
  9. 20
  10. 210
  11. 80
  12. 12
  13. 31
  14. 6
  15. 15
  16. 8
  17. 4
  18. 9
  19. 14
  20. 29
  21. 100
  22. 24
  23. 17
  24. 4
  25. 20
  26. 42
  27. 3
  28. 10
  29. 27
  30. 7
  31. 4
  32. 13
  33. 11
  34. 22
  35. 5
  36. 460
  37. 10
  38. 16
  39. 275
  40. 580

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