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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 315 · 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 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  2. 2.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  4. 4.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  5. 5.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  6. 6.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  7. 7.Two trains, 170 m and 270 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?
  8. 8.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  9. 9.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  10. 10.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  11. 11.A boat goes 68 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  13. 13.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  14. 14.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  17. 17.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  18. 18.A boat goes 24 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)?
  19. 19.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  20. 20.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  21. 21.Two trains, 100 m and 110 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?
  22. 22.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  23. 23.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  24. 24.Two trains, 50 m and 75 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?
  25. 25.Two trains, 140 m and 340 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.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  28. 28.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  29. 29.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  30. 30.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  31. 31.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes 38 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  34. 34.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  35. 35.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  38. 38.Two trains, 170 m and 190 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?
  39. 39.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?
  40. 40.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 450
  2. 29
  3. 31
  4. 700
  5. 22
  6. 26
  7. 11
  8. 37
  9. 29
  10. 13
  11. 12
  12. 18
  13. 80
  14. 16
  15. 25
  16. 18
  17. 60
  18. 7
  19. 22
  20. 625
  21. 6
  22. 25
  23. 35
  24. 5
  25. 12
  26. 5
  27. 27
  28. 18
  29. 140
  30. 25
  31. 24
  32. 5
  33. 28
  34. 100
  35. 29
  36. 14
  37. 21
  38. 9
  39. 9
  40. 9

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