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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 296 · 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, 200 m and 160 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?
  2. 2.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 70 m and 350 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?
  4. 4.Two trains, 210 m and 60 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?
  5. 5.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 105 km upstream and come back?
  6. 6.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  7. 7.Two trains, 60 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?
  8. 8.Two trains, 110 m and 330 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?
  9. 9.A train 250 m long runs at 36 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 1 km/h. How many hours does the boat take to go 96 km upstream and come back?
  11. 11.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 60 km upstream and come back?
  12. 12.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  14. 14.A boat goes at 20 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 70 km upstream and come back?
  15. 15.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  16. 16.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 36 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)?
  18. 18.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  19. 19.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  20. 20.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  21. 21.Two trains, 120 m and 285 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?
  22. 22.Two trains, 160 m and 380 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?
  23. 23.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 108 km upstream and come back?
  24. 24.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 120 km upstream and come back?
  25. 25.Two trains, 80 m and 95 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?
  26. 26.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  27. 27.A boat goes 64 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  29. 29.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  31. 31.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  33. 33.Two trains, 170 m and 190 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?
  34. 34.Two trains, 80 m and 60 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?
  35. 35.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  36. 36.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  37. 37.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  38. 38.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  39. 39.Two trains, 250 m and 170 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?
  40. 40.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?

Answer key

  1. 9
  2. 8
  3. 12
  4. 6
  5. 50
  6. 290
  7. 6
  8. 11
  9. 25
  10. 28
  11. 18
  12. 23
  13. 100
  14. 16
  15. 33
  16. 20
  17. 7
  18. 135
  19. 27
  20. 26
  21. 9
  22. 12
  23. 120
  24. 16
  25. 7
  26. 14
  27. 15
  28. 360
  29. 29
  30. 28
  31. 7
  32. 39
  33. 9
  34. 4
  35. 20
  36. 32
  37. 25
  38. 21
  39. 12
  40. 28

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