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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 353 · 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 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  2. 2.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  3. 3.A boat goes 45 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  4. 4.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  5. 5.Two trains, 170 m and 70 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?
  6. 6.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  7. 7.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  10. 10.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  11. 11.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  13. 13.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  16. 16.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 52 km upstream and come back?
  18. 18.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 200 m and 100 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  20. 20.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  21. 21.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  24. 24.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  25. 25.Two trains, 70 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?
  26. 26.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 84 km downstream in 4 hours and 76 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  30. 30.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  32. 32.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  33. 33.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 200 m and 115 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?
  36. 36.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 50 m and 310 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.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  40. 40.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?

Answer key

  1. 190
  2. 405
  3. 1
  4. 35
  5. 8
  6. 24
  7. 3
  8. 27
  9. 17
  10. 400
  11. 20
  12. 16
  13. 21
  14. 24
  15. 280
  16. 11
  17. 15
  18. 17
  19. 10
  20. 40
  21. 8
  22. 14
  23. 480
  24. 150
  25. 7
  26. 4
  27. 15
  28. 1
  29. 31
  30. 18
  31. 17
  32. 20
  33. 17
  34. 14
  35. 9
  36. 28
  37. 5
  38. 9
  39. 100
  40. 28

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