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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 747 · 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 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  2. 2.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  3. 3.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 64 km upstream and come back?
  4. 4.Two trains, 110 m and 100 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?
  5. 5.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  6. 6.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 160 m and 120 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?
  9. 9.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  11. 11.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  12. 12.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  13. 13.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  14. 14.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 110 m and 170 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?
  16. 16.Two trains, 70 m and 230 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?
  17. 17.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  18. 18.Two trains, 170 m and 180 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?
  19. 19.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 90 km upstream and come back?
  20. 20.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 54 km upstream and come back?
  21. 21.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  22. 22.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  23. 23.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  24. 24.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 140 m and 160 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?
  27. 27.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  28. 28.Two trains, 250 m and 170 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?
  29. 29.Two trains, 50 m and 150 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 running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  31. 31.Two trains, 100 m and 300 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?
  32. 32.Two trains, 230 m and 50 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?
  33. 33.Two trains, 140 m and 100 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?
  34. 34.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  35. 35.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  36. 36.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 20 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  39. 39.Two trains, 80 m and 235 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?
  40. 40.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 360
  2. 25
  3. 36
  4. 7
  5. 200
  6. 20
  7. 27
  8. 8
  9. 14
  10. 22
  11. 16
  12. 35
  13. 70
  14. 12
  15. 8
  16. 12
  17. 29
  18. 7
  19. 50
  20. 24
  21. 15
  22. 44
  23. 18
  24. 9
  25. 7
  26. 12
  27. 31
  28. 12
  29. 8
  30. 140
  31. 8
  32. 8
  33. 12
  34. 18
  35. 100
  36. 17
  37. 15
  38. 2
  39. 9
  40. 10

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