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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 221 · 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 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  2. 2.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  3. 3.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  4. 4.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  5. 5.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  6. 6.Two trains, 160 m and 335 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?
  7. 7.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  8. 8.Two trains, 70 m and 230 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?
  9. 9.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  11. 11.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 60 m and 255 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?
  13. 13.Two trains, 220 m and 60 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?
  14. 14.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  15. 15.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  16. 16.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes 55 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  20. 20.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  21. 21.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  22. 22.Two trains, 70 m and 80 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?
  23. 23.A boat goes 20 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)?
  24. 24.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 240 m and 120 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?
  26. 26.Two trains, 90 m and 225 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?
  27. 27.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 17 km upstream and come back?
  28. 28.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  30. 30.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  32. 32.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  35. 35.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  36. 36.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  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 train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  39. 39.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  40. 40.Two trains, 210 m and 290 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?

Answer key

  1. 600
  2. 23
  3. 27
  4. 435
  5. 650
  6. 11
  7. 30
  8. 10
  9. 5
  10. 38
  11. 7
  12. 9
  13. 7
  14. 240
  15. 14
  16. 15
  17. 26
  18. 9
  19. 32
  20. 42
  21. 24
  22. 6
  23. 6
  24. 21
  25. 9
  26. 9
  27. 18
  28. 30
  29. 285
  30. 22
  31. 22
  32. 13
  33. 2
  34. 28
  35. 34
  36. 12
  37. 15
  38. 16
  39. 120
  40. 10

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