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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 634 · 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, 210 m and 190 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?
  2. 2.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 24 km upstream and come back?
  3. 3.Two trains, 250 m and 300 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?
  4. 4.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  5. 5.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  7. 7.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 48 km upstream and come back?
  8. 8.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.Two trains, 190 m and 130 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?
  10. 10.Two trains, 60 m and 220 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?
  11. 11.A boat goes 72 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)?
  12. 12.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 20 km upstream and come back?
  13. 13.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  14. 14.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  15. 15.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 108 km upstream and come back?
  16. 16.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 32 km upstream and come back?
  17. 17.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  19. 19.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  20. 20.A boat goes at 18 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 64 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 125 m long?
  22. 22.A boat goes 55 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  23. 23.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  24. 24.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  25. 25.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  26. 26.A boat goes 56 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  28. 28.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  29. 29.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  30. 30.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  31. 31.Two trains, 120 m and 160 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?
  32. 32.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  33. 33.Two trains, 90 m and 135 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?
  34. 34.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  35. 35.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 56 km upstream and come back?
  36. 36.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 33 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.Two trains, 180 m and 120 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?
  40. 40.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 100 km upstream and come back?

Answer key

  1. 8
  2. 8
  3. 11
  4. 27
  5. 17
  6. 390
  7. 11
  8. 6
  9. 8
  10. 8
  11. 16
  12. 12
  13. 21
  14. 37
  15. 40
  16. 18
  17. 28
  18. 38
  19. 75
  20. 18
  21. 18
  22. 3
  23. 700
  24. 540
  25. 260
  26. 9
  27. 200
  28. 675
  29. 10
  30. 420
  31. 8
  32. 220
  33. 5
  34. 480
  35. 32
  36. 24
  37. 23
  38. 4
  39. 12
  40. 30

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