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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 779 · 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 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  3. 3.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 40 km upstream and come back?
  5. 5.A boat goes 110 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  7. 7.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?
  8. 8.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  9. 9.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  10. 10.Two trains, 90 m and 90 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?
  11. 11.Two trains, 130 m and 150 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?
  12. 12.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  13. 13.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 180 m and 60 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?
  15. 15.A boat goes 28 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)?
  16. 16.Two trains, 200 m and 150 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 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  18. 18.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 16 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  22. 22.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  23. 23.A boat goes 34 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  26. 26.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 110 m and 65 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?
  28. 28.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  29. 29.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  30. 30.Two trains, 100 m and 125 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?
  31. 31.A boat goes 38 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.Two trains, 160 m and 320 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?
  33. 33.A boat goes 65 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  36. 36.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  37. 37.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  38. 38.A boat goes 27 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  40. 40.Two trains, 140 m and 160 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?

Answer key

  1. 26
  2. 28
  3. 11
  4. 7
  5. 5
  6. 23
  7. 12
  8. 18
  9. 20
  10. 6
  11. 8
  12. 420
  13. 13
  14. 8
  15. 6
  16. 10
  17. 90
  18. 11
  19. 29
  20. 7
  21. 18
  22. 33
  23. 2
  24. 24
  25. 225
  26. 21
  27. 5
  28. 16
  29. 240
  30. 9
  31. 4
  32. 12
  33. 5
  34. 24
  35. 360
  36. 29
  37. 35
  38. 2
  39. 200
  40. 12

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