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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 189 · 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 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 50 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  3. 3.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  4. 4.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  5. 5.Two trains, 140 m and 340 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  6. 6.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  7. 7.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  8. 8.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  9. 9.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 180 m and 120 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?
  11. 11.Two trains, 190 m and 55 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?
  12. 12.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  13. 13.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  14. 14.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  15. 15.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  16. 16.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  17. 17.Two trains, 80 m and 235 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?
  18. 18.Two trains, 80 m and 80 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  19. 19.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  20. 20.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 160 m and 65 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?
  22. 22.Two trains, 130 m and 90 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?
  23. 23.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 24 km upstream and come back?
  24. 24.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  25. 25.Two trains, 110 m and 140 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?
  26. 26.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 117 km upstream and come back?
  27. 27.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  29. 29.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  32. 32.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  33. 33.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  34. 34.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 108 km upstream and come back?
  36. 36.Two trains, 250 m and 65 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?
  37. 37.Two trains, 60 m and 540 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?
  38. 38.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 54 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)?
  40. 40.Two trains, 120 m and 240 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?

Answer key

  1. 20
  2. 1
  3. 70
  4. 300
  5. 12
  6. 24
  7. 33
  8. 90
  9. 5
  10. 10
  11. 7
  12. 425
  13. 16
  14. 375
  15. 280
  16. 34
  17. 9
  18. 4
  19. 42
  20. 8
  21. 9
  22. 11
  23. 6
  24. 80
  25. 10
  26. 130
  27. 19
  28. 27
  29. 27
  30. 9
  31. 325
  32. 30
  33. 150
  34. 4
  35. 27
  36. 9
  37. 12
  38. 29
  39. 14
  40. 9

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