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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 886 · 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, 190 m and 170 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  2. 2.Two trains, 200 m and 100 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?
  3. 3.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  4. 4.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  5. 5.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  7. 7.Two trains, 120 m and 105 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?
  8. 8.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 30 km upstream and come back?
  9. 9.A boat goes 120 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  11. 11.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  13. 13.Two trains, 120 m and 240 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?
  14. 14.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  15. 15.Two trains, 150 m and 50 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?
  16. 16.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.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 29 km upstream and come back?
  18. 18.Two trains, 170 m and 145 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?
  19. 19.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.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)?
  21. 21.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  23. 23.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 50 m and 335 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?
  26. 26.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 160 m and 190 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?
  28. 28.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  29. 29.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  30. 30.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  31. 31.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  32. 32.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  33. 33.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes 28 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)?
  35. 35.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  37. 37.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  39. 39.A boat goes 55 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 boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 72 km upstream and come back?

Answer key

  1. 9
  2. 6
  3. 25
  4. 290
  5. 30
  6. 25
  7. 9
  8. 4
  9. 4
  10. 32
  11. 7
  12. 34
  13. 9
  14. 25
  15. 8
  16. 16
  17. 30
  18. 7
  19. 8
  20. 7
  21. 12
  22. 34
  23. 15
  24. 26
  25. 11
  26. 15
  27. 10
  28. 210
  29. 600
  30. 27
  31. 15
  32. 16
  33. 1
  34. 10
  35. 5
  36. 31
  37. 24
  38. 15
  39. 2
  40. 22

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