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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 109 · 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, 110 m and 135 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?
  2. 2.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  4. 4.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  5. 5.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  8. 8.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  9. 9.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  11. 11.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  13. 13.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  14. 14.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  17. 17.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  18. 18.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  19. 19.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  20. 20.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 44 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  23. 23.Two trains, 180 m and 180 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?
  24. 24.A boat goes 72 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  26. 26.Two trains, 230 m and 120 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?
  27. 27.A boat goes 40 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)?
  28. 28.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 60 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  31. 31.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  33. 33.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  34. 34.Two trains, 80 m and 70 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?
  35. 35.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 112 km upstream and come back?
  37. 37.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  38. 38.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  39. 39.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  40. 40.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?

Answer key

  1. 7
  2. 15
  3. 24
  4. 140
  5. 19
  6. 22
  7. 27
  8. 280
  9. 16
  10. 32
  11. 22
  12. 38
  13. 225
  14. 20
  15. 15
  16. 23
  17. 315
  18. 300
  19. 70
  20. 8
  21. 4
  22. 160
  23. 12
  24. 14
  25. 125
  26. 10
  27. 17
  28. 6
  29. 14
  30. 220
  31. 7
  32. 29
  33. 345
  34. 6
  35. 2
  36. 42
  37. 500
  38. 24
  39. 33
  40. 26

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