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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 257 · 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 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  2. 2.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  3. 3.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  4. 4.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 105 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  7. 7.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  8. 8.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  9. 9.A boat goes 36 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  11. 11.Two trains, 90 m and 260 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?
  12. 12.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  13. 13.Two trains, 150 m and 180 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?
  14. 14.Two trains, 160 m and 140 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?
  15. 15.Two trains, 70 m and 130 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?
  16. 16.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 160 m and 65 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?
  18. 18.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)?
  19. 19.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  20. 20.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  22. 22.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  24. 24.Two trains, 100 m and 230 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?
  25. 25.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  26. 26.A boat goes 44 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  29. 29.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  30. 30.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 54 km upstream and come back?
  31. 31.Two trains, 70 m and 290 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?
  32. 32.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  34. 34.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  35. 35.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  36. 36.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  37. 37.A boat goes 65 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  40. 40.Two trains, 70 m and 70 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?

Answer key

  1. 560
  2. 29
  3. 200
  4. 25
  5. 5
  6. 31
  7. 18
  8. 30
  9. 5
  10. 75
  11. 10
  12. 700
  13. 11
  14. 12
  15. 5
  16. 24
  17. 5
  18. 4
  19. 29
  20. 5
  21. 44
  22. 20
  23. 25
  24. 11
  25. 24
  26. 4
  27. 9
  28. 280
  29. 10
  30. 30
  31. 8
  32. 7
  33. 28
  34. 29
  35. 18
  36. 26
  37. 2
  38. 27
  39. 150
  40. 4

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