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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 823 · 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 boat goes 60 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  2. 2.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 33 km upstream and come back?
  3. 3.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  6. 6.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 44 km downstream in 4 hours and 4 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 90 m and 405 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?
  10. 10.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  11. 11.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  12. 12.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  13. 13.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  14. 14.Two trains, 80 m and 60 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  15. 15.A boat goes 26 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes 39 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  17. 17.A boat goes 84 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  18. 18.Two trains, 100 m and 320 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?
  19. 19.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  20. 20.Two trains, 60 m and 90 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?
  21. 21.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 40 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.Two trains, 100 m and 500 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  24. 24.A boat goes 50 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  26. 26.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  28. 28.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  30. 30.Two trains, 190 m and 170 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?
  31. 31.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 99 km upstream and come back?
  33. 33.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  34. 34.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  35. 35.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  36. 36.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  37. 37.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  38. 38.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  39. 39.A boat goes 75 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?

Answer key

  1. 5
  2. 12
  3. 11
  4. 6
  5. 23
  6. 12
  7. 5
  8. 7
  9. 11
  10. 11
  11. 725
  12. 560
  13. 220
  14. 7
  15. 8
  16. 4
  17. 2
  18. 12
  19. 27
  20. 5
  21. 16
  22. 3
  23. 12
  24. 3
  25. 26
  26. 17
  27. 100
  28. 19
  29. 210
  30. 8
  31. 14
  32. 108
  33. 24
  34. 135
  35. 13
  36. 28
  37. 34
  38. 26
  39. 10
  40. 18

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