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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 909 · 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 25 seconds. How long is the train (in metres)?
  2. 2.Two trains, 220 m and 60 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?
  3. 3.A boat goes 38 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  4. 4.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  6. 6.A boat goes 120 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  10. 10.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  11. 11.Two trains, 230 m and 155 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  12. 12.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 48 km upstream and come back?
  13. 13.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  15. 15.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  16. 16.Two trains, 60 m and 60 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  17. 17.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  19. 19.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  20. 20.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  21. 21.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  23. 23.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  24. 24.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  25. 25.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  26. 26.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  27. 27.A boat goes 26 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  28. 28.Two trains, 90 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  29. 29.Two trains, 80 m and 340 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  30. 30.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  31. 31.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 70 m and 80 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?
  33. 33.Two trains, 240 m and 210 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?
  34. 34.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)?
  35. 35.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  36. 36.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  38. 38.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  39. 39.A boat goes 45 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 250
  2. 8
  3. 1
  4. 5
  5. 17
  6. 19
  7. 22
  8. 21
  9. 23
  10. 130
  11. 11
  12. 14
  13. 14
  14. 32
  15. 42
  16. 4
  17. 10
  18. 34
  19. 17
  20. 35
  21. 8
  22. 195
  23. 80
  24. 165
  25. 44
  26. 20
  27. 1
  28. 4
  29. 12
  30. 120
  31. 25
  32. 5
  33. 9
  34. 2
  35. 75
  36. 16
  37. 32
  38. 625
  39. 1
  40. 27

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