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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 730 · 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, 100 m and 250 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?
  2. 2.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  3. 3.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  4. 4.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  6. 6.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  7. 7.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  9. 9.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  10. 10.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  11. 11.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  12. 12.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 44 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 52 km upstream and come back?
  15. 15.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 88 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes 56 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?
  21. 21.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 28 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  24. 24.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 90 km upstream and come back?
  25. 25.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  26. 26.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  27. 27.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  28. 28.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  29. 29.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  31. 31.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  32. 32.Two trains, 180 m and 120 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?
  33. 33.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  36. 36.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  37. 37.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  38. 38.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 33 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?

Answer key

  1. 10
  2. 240
  3. 30
  4. 12
  5. 16
  6. 16
  7. 30
  8. 23
  9. 20
  10. 26
  11. 105
  12. 17
  13. 4
  14. 15
  15. 18
  16. 14
  17. 3
  18. 10
  19. 21
  20. 15
  21. 10
  22. 2
  23. 17
  24. 16
  25. 30
  26. 32
  27. 12
  28. 29
  29. 18
  30. 27
  31. 20
  32. 12
  33. 23
  34. 24
  35. 54
  36. 22
  37. 25
  38. 28
  39. 3
  40. 28

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