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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 738 · 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 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  2. 2.Two trains, 110 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?
  3. 3.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  4. 4.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  5. 5.Two trains, 190 m and 290 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?
  6. 6.A boat goes 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  9. 9.Two trains, 190 m and 305 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 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  11. 11.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  12. 12.Two trains, 70 m and 105 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  13. 13.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  15. 15.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  16. 16.A boat goes 63 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  17. 17.A boat goes 24 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  19. 19.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  21. 21.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  23. 23.A train 575 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 5 seconds. How long is the train (in metres)?
  25. 25.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  26. 26.A boat goes 90 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  28. 28.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  29. 29.Two trains, 80 m and 165 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?
  30. 30.Two trains, 240 m and 120 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?
  31. 31.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  32. 32.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  33. 33.A boat goes 95 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 87 km upstream and come back?
  35. 35.Two trains, 70 m and 180 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?
  36. 36.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  37. 37.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  38. 38.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  39. 39.Two trains, 60 m and 115 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?
  40. 40.Two trains, 100 m and 250 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. 130
  2. 4
  3. 11
  4. 29
  5. 12
  6. 17
  7. 28
  8. 31
  9. 11
  10. 25
  11. 80
  12. 7
  13. 26
  14. 24
  15. 25
  16. 3
  17. 1
  18. 210
  19. 7
  20. 100
  21. 1
  22. 15
  23. 23
  24. 75
  25. 70
  26. 5
  27. 12
  28. 25
  29. 7
  30. 12
  31. 34
  32. 17
  33. 15
  34. 90
  35. 10
  36. 300
  37. 400
  38. 140
  39. 7
  40. 10

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