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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 59 · 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 36 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.A boat goes 30 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  3. 3.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  4. 4.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  5. 5.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)?
  6. 6.A boat goes 69 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  8. 8.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  11. 11.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 60 km upstream and come back?
  12. 12.Two trains, 60 m and 165 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?
  13. 13.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  14. 14.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  15. 15.A boat goes 85 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  17. 17.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 240 m and 120 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?
  19. 19.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  20. 20.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 70 m and 90 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?
  22. 22.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  23. 23.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  24. 24.A boat goes 70 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  28. 28.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  29. 29.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  30. 30.Two trains, 190 m and 195 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?
  31. 31.A boat goes 66 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes 75 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  34. 34.A boat goes 38 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 70 m and 90 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?
  38. 38.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  40. 40.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?

Answer key

  1. 1
  2. 3
  3. 90
  4. 29
  5. 2
  6. 20
  7. 480
  8. 24
  9. 7
  10. 24
  11. 13
  12. 5
  13. 26
  14. 325
  15. 2
  16. 28
  17. 28
  18. 8
  19. 240
  20. 15
  21. 4
  22. 41
  23. 31
  24. 13
  25. 2
  26. 21
  27. 4
  28. 375
  29. 33
  30. 11
  31. 18
  32. 5
  33. 36
  34. 16
  35. 30
  36. 12
  37. 4
  38. 21
  39. 27
  40. 27

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