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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 11 · 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.

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  1. 1.Two trains, 90 m and 225 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?
  2. 2.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  3. 3.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.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 72 km upstream and come back?
  5. 5.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  6. 6.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  8. 8.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 64 km upstream and come back?
  9. 9.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 26 km upstream and come back?
  11. 11.A boat goes 27 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 48 km upstream and come back?
  14. 14.A boat goes 54 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.Two trains, 100 m and 125 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?
  17. 17.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  18. 18.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 160 m and 60 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  20. 20.Two trains, 140 m and 60 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?
  21. 21.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 60 km upstream and come back?
  22. 22.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  24. 24.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  26. 26.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  27. 27.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.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 45 km upstream and come back?
  29. 29.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  30. 30.Two trains, 100 m and 440 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?
  31. 31.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  32. 32.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  33. 33.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 21 km upstream and come back?
  34. 34.Two trains, 110 m and 65 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?
  35. 35.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 160 m and 65 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?
  39. 39.Two trains, 70 m and 50 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  40. 40.A boat goes at 16 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 84 km upstream and come back?

Answer key

  1. 7
  2. 280
  3. 6
  4. 40
  5. 375
  6. 7
  7. 50
  8. 36
  9. 10
  10. 28
  11. 7
  12. 21
  13. 9
  14. 3
  15. 20
  16. 9
  17. 29
  18. 22
  19. 11
  20. 8
  21. 33
  22. 12
  23. 165
  24. 18
  25. 18
  26. 480
  27. 25
  28. 14
  29. 500
  30. 12
  31. 29
  32. 34
  33. 10
  34. 5
  35. 3
  36. 19
  37. 21
  38. 9
  39. 6
  40. 24

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