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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 761 · 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.Two trains, 90 m and 85 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?
  2. 2.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  3. 3.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 29 km upstream and come back?
  4. 4.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  5. 5.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  9. 9.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  10. 10.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?
  12. 12.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  13. 13.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  14. 14.Two trains, 160 m and 200 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?
  15. 15.A boat goes 90 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  17. 17.A boat goes 54 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 85 km upstream and come back?
  19. 19.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 84 km upstream and come back?
  21. 21.Two trains, 60 m and 210 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?
  22. 22.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  23. 23.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  24. 24.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 100 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 24 km upstream and come back?
  27. 27.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  28. 28.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  29. 29.Two trains, 150 m and 100 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?
  30. 30.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  32. 32.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 33 km upstream and come back?
  33. 33.Two trains, 110 m and 160 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?
  34. 34.A boat goes 70 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)?
  35. 35.A boat goes at 20 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 105 km upstream and come back?
  36. 36.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)?
  37. 37.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 160 m and 120 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?
  39. 39.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 5
  2. 15
  3. 30
  4. 27
  5. 23
  6. 7
  7. 7
  8. 200
  9. 30
  10. 27
  11. 15
  12. 650
  13. 240
  14. 9
  15. 14
  16. 550
  17. 3
  18. 90
  19. 14
  20. 88
  21. 9
  22. 24
  23. 200
  24. 8
  25. 18
  26. 9
  27. 25
  28. 28
  29. 10
  30. 13
  31. 17
  32. 12
  33. 9
  34. 10
  35. 24
  36. 3
  37. 23
  38. 8
  39. 7
  40. 8

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