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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 362 · 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 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  3. 3.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  4. 4.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  5. 5.Two trains, 50 m and 300 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?
  6. 6.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  7. 7.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  8. 8.Two trains, 80 m and 270 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?
  9. 9.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 56 km upstream and come back?
  10. 10.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  11. 11.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  12. 12.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  14. 14.Two trains, 110 m and 160 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?
  15. 15.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  16. 16.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  17. 17.Two trains, 120 m and 240 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?
  18. 18.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  19. 19.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 50 m and 390 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?
  21. 21.A boat goes at 17 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 64 km upstream and come back?
  22. 22.A boat goes 50 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)?
  23. 23.Two trains, 80 m and 235 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?
  24. 24.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  25. 25.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  26. 26.Two trains, 100 m and 50 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?
  27. 27.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  28. 28.A boat goes 60 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.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)?
  30. 30.A boat goes 44 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  33. 33.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  35. 35.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  36. 36.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  37. 37.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  38. 38.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?

Answer key

  1. 8
  2. 28
  3. 27
  4. 90
  5. 10
  6. 260
  7. 41
  8. 10
  9. 30
  10. 17
  11. 70
  12. 26
  13. 2
  14. 9
  15. 24
  16. 24
  17. 8
  18. 375
  19. 5
  20. 11
  21. 34
  22. 8
  23. 9
  24. 500
  25. 8
  26. 5
  27. 27
  28. 4
  29. 7
  30. 7
  31. 9
  32. 150
  33. 27
  34. 75
  35. 18
  36. 24
  37. 29
  38. 15
  39. 8
  40. 240

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