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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 278 · 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 140 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?
  2. 2.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  3. 3.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  4. 4.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  7. 7.Two trains, 190 m and 215 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?
  8. 8.A boat goes 36 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  9. 9.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  10. 10.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes at 20 km/h in still water. The river flows at 19 km/h. How many hours does the boat take to go 39 km upstream and come back?
  12. 12.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 30 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  15. 15.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 48 km upstream and come back?
  16. 16.Two trains, 230 m and 70 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?
  17. 17.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 60 m and 80 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?
  19. 19.Two trains, 60 m and 260 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?
  20. 20.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  21. 21.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  22. 22.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 12 km upstream and come back?
  23. 23.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 84 km upstream and come back?
  24. 24.A boat goes 28 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  25. 25.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  26. 26.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  27. 27.A boat goes 24 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)?
  28. 28.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.Two trains, 80 m and 460 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?
  30. 30.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  31. 31.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  32. 32.A boat goes 30 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 60 m long runs at 36 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 16 seconds. How long is the train (in metres)?
  35. 35.Two trains, 100 m and 125 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?
  36. 36.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 44 km upstream and come back?
  37. 37.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  38. 38.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  39. 39.Two trains, 100 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?
  40. 40.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 10
  2. 13
  3. 12
  4. 12
  5. 9
  6. 28
  7. 9
  8. 3
  9. 255
  10. 5
  11. 40
  12. 24
  13. 14
  14. 23
  15. 15
  16. 12
  17. 26
  18. 7
  19. 8
  20. 22
  21. 33
  22. 4
  23. 49
  24. 2
  25. 390
  26. 30
  27. 9
  28. 13
  29. 12
  30. 22
  31. 44
  32. 1
  33. 6
  34. 240
  35. 5
  36. 13
  37. 29
  38. 625
  39. 6
  40. 12

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