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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 181 · 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 pass a pole?
  2. 2.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A boat goes 56 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.A boat goes at 17 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  6. 6.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  11. 11.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  12. 12.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  13. 13.A boat goes 30 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  15. 15.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.Two trains, 60 m and 325 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?
  17. 17.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  18. 18.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 120 m and 240 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 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  22. 22.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  24. 24.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  25. 25.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)?
  26. 26.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 13 km upstream and come back?
  27. 27.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  29. 29.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  30. 30.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  32. 32.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  33. 33.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  34. 34.A boat goes 22 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)?
  35. 35.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  36. 36.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  37. 37.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)?
  38. 38.Two trains, 180 m and 95 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  39. 39.Two trains, 250 m and 170 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 train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?

Answer key

  1. 5
  2. 7
  3. 13
  4. 4
  5. 17
  6. 4
  7. 15
  8. 5
  9. 29
  10. 30
  11. 26
  12. 4
  13. 2
  14. 480
  15. 2
  16. 11
  17. 120
  18. 7
  19. 20
  20. 12
  21. 15
  22. 17
  23. 38
  24. 13
  25. 10
  26. 14
  27. 25
  28. 25
  29. 13
  30. 27
  31. 28
  32. 575
  33. 20
  34. 8
  35. 180
  36. 22
  37. 3
  38. 11
  39. 12
  40. 36

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