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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 27 · 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 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  2. 2.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  5. 5.Two trains, 200 m and 70 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  6. 6.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 80 km upstream and come back?
  7. 7.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  8. 8.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  9. 9.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  10. 10.A boat goes 18 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  11. 11.A boat goes 75 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes 70 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  13. 13.A boat goes 34 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  15. 15.Two trains, 90 m and 85 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 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  18. 18.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  19. 19.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  23. 23.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  25. 25.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 130 m and 110 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?
  28. 28.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  29. 29.A boat goes 115 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  30. 30.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  31. 31.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  32. 32.Two trains, 210 m and 70 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?
  33. 33.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  35. 35.Two trains, 150 m and 60 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 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  37. 37.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes 48 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 15
  2. 7
  3. 18
  4. 29
  5. 6
  6. 18
  7. 180
  8. 2
  9. 110
  10. 3
  11. 2
  12. 4
  13. 2
  14. 21
  15. 5
  16. 6
  17. 26
  18. 28
  19. 6
  20. 14
  21. 13
  22. 34
  23. 20
  24. 105
  25. 14
  26. 8
  27. 8
  28. 20
  29. 5
  30. 675
  31. 37
  32. 7
  33. 25
  34. 25
  35. 6
  36. 34
  37. 7
  38. 5
  39. 10
  40. 27

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