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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 651 · 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 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.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?
  4. 4.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 72 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  10. 10.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  12. 12.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  13. 13.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  14. 14.Two trains, 140 m and 220 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?
  15. 15.Two trains, 100 m and 125 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?
  16. 16.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?
  17. 17.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  18. 18.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  22. 22.Two trains, 60 m and 150 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?
  23. 23.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?
  24. 24.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  26. 26.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  27. 27.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  28. 28.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  29. 29.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  33. 33.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  34. 34.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  36. 36.Two trains, 50 m and 265 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.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  38. 38.Two trains, 130 m and 230 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?
  39. 39.Two trains, 190 m and 350 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?
  40. 40.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?

Answer key

  1. 24
  2. 6
  3. 7
  4. 26
  5. 23
  6. 29
  7. 1
  8. 27
  9. 220
  10. 5
  11. 19
  12. 300
  13. 400
  14. 9
  15. 9
  16. 9
  17. 140
  18. 26
  19. 28
  20. 17
  21. 27
  22. 7
  23. 11
  24. 21
  25. 31
  26. 700
  27. 70
  28. 22
  29. 16
  30. 11
  31. 12
  32. 625
  33. 165
  34. 23
  35. 200
  36. 9
  37. 420
  38. 12
  39. 12
  40. 18

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