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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 744 · 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, 70 m and 200 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  2. 2.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 40 km upstream and come back?
  3. 3.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 57 km upstream and come back?
  4. 4.Two trains, 80 m and 60 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?
  5. 5.A boat goes 84 km downstream in 4 hours and 76 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.Two trains, 110 m and 250 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?
  7. 7.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 108 km upstream and come back?
  9. 9.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  11. 11.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 28 km upstream and come back?
  12. 12.Two trains, 110 m and 90 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?
  13. 13.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 80 km upstream and come back?
  15. 15.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  17. 17.Two trains, 110 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?
  18. 18.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 110 m and 100 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  20. 20.Two trains, 70 m and 250 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?
  21. 21.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  22. 22.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  23. 23.A boat goes 30 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)?
  24. 24.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  25. 25.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  26. 26.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  27. 27.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  28. 28.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  29. 29.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 18 km upstream and come back?
  30. 30.Two trains, 120 m and 280 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?
  31. 31.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  32. 32.Two trains, 90 m and 160 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?
  33. 33.Two trains, 80 m and 400 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?
  34. 34.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  35. 35.Two trains, 150 m and 250 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?
  36. 36.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  37. 37.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 100 m and 200 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?
  39. 39.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  40. 40.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?

Answer key

  1. 9
  2. 12
  3. 60
  4. 4
  5. 20
  6. 9
  7. 6
  8. 57
  9. 26
  10. 24
  11. 9
  12. 8
  13. 18
  14. 25
  15. 20
  16. 200
  17. 12
  18. 30
  19. 7
  20. 8
  21. 120
  22. 460
  23. 12
  24. 4
  25. 150
  26. 34
  27. 75
  28. 360
  29. 8
  30. 8
  31. 23
  32. 5
  33. 12
  34. 31
  35. 8
  36. 120
  37. 22
  38. 10
  39. 18
  40. 11

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