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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 274 · 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, 120 m and 80 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?
  2. 2.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  3. 3.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  4. 4.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 96 km upstream and come back?
  5. 5.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 170 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?
  9. 9.Two trains, 180 m and 270 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?
  10. 10.A boat goes 44 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.Two trains, 70 m and 175 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?
  12. 12.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  13. 13.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  14. 14.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 100 km upstream and come back?
  15. 15.Two trains, 70 m and 170 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  16. 16.Two trains, 210 m and 340 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?
  17. 17.A boat goes 36 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 60 km upstream and come back?
  19. 19.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  21. 21.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  23. 23.Two trains, 100 m and 285 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?
  24. 24.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  25. 25.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  26. 26.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  28. 28.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  31. 31.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.Two trains, 80 m and 340 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?
  33. 33.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  35. 35.Two trains, 50 m and 250 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?
  36. 36.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  37. 37.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 90 km upstream and come back?
  38. 38.Two trains, 120 m and 105 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?
  39. 39.A boat goes 68 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)?
  40. 40.Two trains, 190 m and 230 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?

Answer key

  1. 5
  2. 22
  3. 375
  4. 56
  5. 12
  6. 17
  7. 22
  8. 11
  9. 10
  10. 19
  11. 7
  12. 24
  13. 160
  14. 35
  15. 8
  16. 11
  17. 2
  18. 16
  19. 6
  20. 32
  21. 6
  22. 33
  23. 11
  24. 225
  25. 340
  26. 9
  27. 29
  28. 21
  29. 19
  30. 28
  31. 13
  32. 12
  33. 14
  34. 270
  35. 12
  36. 24
  37. 12
  38. 9
  39. 15
  40. 12

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