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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 36 · 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 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 90 m and 295 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  3. 3.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  4. 4.A boat goes 84 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  6. 6.A boat goes at 19 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?
  7. 7.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  8. 8.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 66 km upstream and come back?
  9. 9.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  10. 10.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  11. 11.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  12. 12.Two trains, 80 m and 95 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?
  13. 13.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  15. 15.Two trains, 110 m and 135 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?
  16. 16.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 210 m and 175 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  18. 18.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  20. 20.A boat goes 50 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  22. 22.Two trains, 140 m and 175 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  23. 23.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.Two trains, 120 m and 240 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  25. 25.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 39 km upstream and come back?
  26. 26.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  27. 27.Two trains, 140 m and 130 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?
  28. 28.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  30. 30.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  31. 31.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  32. 32.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  33. 33.Two trains, 190 m and 80 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?
  34. 34.Two trains, 120 m and 240 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?
  35. 35.Two trains, 180 m and 205 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  36. 36.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 120 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?
  38. 38.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  39. 39.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 105 km upstream and come back?
  40. 40.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 25
  2. 11
  3. 160
  4. 18
  5. 22
  6. 19
  7. 110
  8. 24
  9. 405
  10. 32
  11. 21
  12. 7
  13. 11
  14. 28
  15. 7
  16. 27
  17. 11
  18. 20
  19. 20
  20. 5
  21. 125
  22. 9
  23. 8
  24. 9
  25. 42
  26. 150
  27. 9
  28. 19
  29. 18
  30. 540
  31. 39
  32. 40
  33. 6
  34. 8
  35. 11
  36. 17
  37. 5
  38. 725
  39. 108
  40. 5

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