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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 733 · 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, 220 m and 140 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.Two trains, 180 m and 65 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?
  3. 3.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 66 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A boat goes 33 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)?
  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 boat goes 100 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  9. 9.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  10. 10.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  11. 11.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.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 96 km upstream and come back?
  13. 13.Two trains, 170 m and 130 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?
  14. 14.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  15. 15.Two trains, 50 m and 270 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?
  16. 16.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 42 km upstream and come back?
  17. 17.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A boat goes 96 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)?
  19. 19.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  20. 20.A boat goes 38 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.Two trains, 150 m and 150 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?
  22. 22.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  23. 23.Two trains, 60 m and 215 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?
  24. 24.Two trains, 60 m and 180 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?
  25. 25.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  27. 27.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  28. 28.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  29. 29.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 96 km upstream and come back?
  30. 30.A boat goes 75 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  31. 31.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  32. 32.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  33. 33.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 34 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  36. 36.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  37. 37.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  38. 38.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 95 km upstream and come back?
  39. 39.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?

Answer key

  1. 9
  2. 7
  3. 11
  4. 18
  5. 7
  6. 17
  7. 18
  8. 35
  9. 140
  10. 475
  11. 24
  12. 22
  13. 12
  14. 13
  15. 8
  16. 44
  17. 7
  18. 19
  19. 280
  20. 3
  21. 10
  22. 220
  23. 11
  24. 12
  25. 5
  26. 30
  27. 28
  28. 29
  29. 14
  30. 4
  31. 150
  32. 36
  33. 11
  34. 5
  35. 43
  36. 580
  37. 31
  38. 100
  39. 15
  40. 190

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