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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 345 · 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 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 70 m and 425 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?
  3. 3.Two trains, 190 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?
  4. 4.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  5. 5.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  6. 6.Two trains, 100 m and 120 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?
  7. 7.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 21 km upstream and come back?
  8. 8.Two trains, 70 m and 280 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?
  9. 9.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 30 km upstream and come back?
  10. 10.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  11. 11.Two trains, 110 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?
  12. 12.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  13. 13.Two trains, 100 m and 125 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?
  14. 14.A boat goes 115 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  16. 16.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  18. 18.Two trains, 250 m and 110 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?
  19. 19.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  20. 20.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  22. 22.Two trains, 100 m and 175 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?
  23. 23.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  24. 24.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  25. 25.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  27. 27.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  29. 29.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  32. 32.Two trains, 100 m and 340 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?
  33. 33.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes 76 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  37. 37.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  39. 39.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 42 km upstream and come back?
  40. 40.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 23
  2. 11
  3. 7
  4. 25
  5. 1
  6. 11
  7. 8
  8. 10
  9. 32
  10. 25
  11. 9
  12. 750
  13. 5
  14. 4
  15. 405
  16. 8
  17. 26
  18. 12
  19. 150
  20. 7
  21. 100
  22. 11
  23. 19
  24. 33
  25. 27
  26. 24
  27. 6
  28. 90
  29. 25
  30. 20
  31. 700
  32. 11
  33. 16
  34. 9
  35. 3
  36. 27
  37. 5
  38. 31
  39. 10
  40. 24

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