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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 593 · 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, 240 m and 360 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?
  2. 2.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  3. 3.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  4. 4.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  5. 5.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  7. 7.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  9. 9.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  10. 10.Two trains, 80 m and 60 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?
  11. 11.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  12. 12.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 38 km upstream and come back?
  13. 13.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  14. 14.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  15. 15.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  16. 16.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 78 km upstream and come back?
  18. 18.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  19. 19.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  20. 20.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  23. 23.Two trains, 70 m and 130 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?
  24. 24.A boat goes 80 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 96 km upstream and come back?
  26. 26.A boat goes 54 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  30. 30.Two trains, 90 m and 210 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?
  31. 31.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 57 km upstream and come back?
  33. 33.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 400 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 5 km/h. How many hours does the boat take to go 99 km upstream and come back?
  36. 36.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  37. 37.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  38. 38.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  39. 39.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  40. 40.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?

Answer key

  1. 12
  2. 105
  3. 120
  4. 22
  5. 11
  6. 14
  7. 27
  8. 435
  9. 41
  10. 4
  11. 41
  12. 40
  13. 120
  14. 27
  15. 18
  16. 28
  17. 42
  18. 290
  19. 240
  20. 26
  21. 23
  22. 520
  23. 10
  24. 15
  25. 20
  26. 4
  27. 13
  28. 10
  29. 12
  30. 12
  31. 20
  32. 22
  33. 8
  34. 16
  35. 108
  36. 125
  37. 27
  38. 33
  39. 100
  40. 33

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