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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 751 · 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, 90 m and 230 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 boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  3. 3.Two trains, 90 m and 155 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?
  4. 4.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  8. 8.A boat goes 90 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  9. 9.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 36 km upstream and come back?
  10. 10.Two trains, 150 m and 60 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.Two trains, 60 m and 90 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?
  12. 12.Two trains, 90 m and 270 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  13. 13.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  14. 14.A boat goes 115 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  16. 16.Two trains, 80 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?
  17. 17.A boat goes 42 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  19. 19.A boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 80 km upstream and come back?
  20. 20.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 250 m and 65 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?
  22. 22.A boat goes 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  23. 23.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  24. 24.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  26. 26.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  28. 28.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  31. 31.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  32. 32.Two trains, 160 m and 155 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?
  33. 33.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?
  34. 34.Two trains, 50 m and 150 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?
  35. 35.A boat goes 64 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  37. 37.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 112 km upstream and come back?
  38. 38.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  40. 40.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?

Answer key

  1. 8
  2. 27
  3. 7
  4. 14
  5. 9
  6. 24
  7. 675
  8. 3
  9. 40
  10. 6
  11. 5
  12. 12
  13. 31
  14. 20
  15. 33
  16. 8
  17. 18
  18. 37
  19. 14
  20. 23
  21. 9
  22. 3
  23. 110
  24. 8
  25. 25
  26. 18
  27. 12
  28. 19
  29. 3
  30. 7
  31. 21
  32. 9
  33. 56
  34. 5
  35. 5
  36. 165
  37. 36
  38. 21
  39. 75
  40. 600

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