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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 678 · 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 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 51 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  4. 4.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  6. 6.A boat goes 27 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  7. 7.Two trains, 120 m and 420 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  8. 8.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 84 km upstream and come back?
  9. 9.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  10. 10.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  11. 11.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  12. 12.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  13. 13.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 90 m and 120 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?
  15. 15.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  16. 16.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  18. 18.A boat goes at 20 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 114 km upstream and come back?
  19. 19.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  20. 20.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  21. 21.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  22. 22.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  23. 23.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  25. 25.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  26. 26.Two trains, 50 m and 190 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?
  27. 27.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 96 km upstream and come back?
  28. 28.Two trains, 240 m and 75 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?
  29. 29.Two trains, 60 m and 210 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  30. 30.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  31. 31.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 120 m and 80 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?
  33. 33.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  34. 34.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 60 km upstream and come back?
  35. 35.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  36. 36.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  37. 37.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  38. 38.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  39. 39.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  40. 40.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 15
  2. 16
  3. 26
  4. 16
  5. 36
  6. 2
  7. 12
  8. 88
  9. 12
  10. 28
  11. 230
  12. 160
  13. 15
  14. 7
  15. 13
  16. 29
  17. 31
  18. 60
  19. 29
  20. 300
  21. 105
  22. 345
  23. 26
  24. 240
  25. 23
  26. 6
  27. 30
  28. 7
  29. 9
  30. 38
  31. 15
  32. 4
  33. 29
  34. 13
  35. 525
  36. 42
  37. 20
  38. 24
  39. 420
  40. 27

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