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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 745 · 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 9 seconds. How long is the train (in metres)?
  2. 2.Two trains, 240 m and 180 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?
  3. 3.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  4. 4.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  5. 5.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 105 km downstream in 5 hours and 95 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  7. 7.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  8. 8.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  10. 10.Two trains, 150 m and 165 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?
  11. 11.Two trains, 50 m and 390 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?
  12. 12.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  13. 13.Two trains, 160 m and 190 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?
  14. 14.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 80 km upstream and come back?
  16. 16.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.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 58 km upstream and come back?
  18. 18.Two trains, 160 m and 50 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?
  19. 19.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 120 km upstream and come back?
  20. 20.Two trains, 50 m and 335 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?
  21. 21.Two trains, 250 m and 65 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?
  22. 22.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 240 m and 90 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?
  24. 24.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 170 m and 190 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?
  27. 27.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  28. 28.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 80 km upstream and come back?
  29. 29.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.Two trains, 130 m and 80 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?
  31. 31.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  32. 32.Two trains, 160 m and 85 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  33. 33.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  34. 34.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  35. 35.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.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?
  37. 37.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  38. 38.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  39. 39.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  40. 40.Two trains, 160 m and 200 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?

Answer key

  1. 225
  2. 12
  3. 15
  4. 39
  5. 24
  6. 1
  7. 120
  8. 6
  9. 27
  10. 9
  11. 11
  12. 280
  13. 10
  14. 6
  15. 12
  16. 22
  17. 60
  18. 7
  19. 15
  20. 11
  21. 7
  22. 21
  23. 11
  24. 15
  25. 30
  26. 9
  27. 35
  28. 44
  29. 29
  30. 7
  31. 36
  32. 7
  33. 32
  34. 250
  35. 5
  36. 20
  37. 17
  38. 150
  39. 90
  40. 12

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