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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 937 · 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 140 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  2. 2.A boat goes 68 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  3. 3.Two trains, 170 m and 145 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 boat goes 30 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  5. 5.Two trains, 60 m and 150 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?
  6. 6.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 110 m and 50 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?
  8. 8.A boat goes 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  11. 11.A boat goes at 5 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?
  12. 12.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 88 km upstream and come back?
  15. 15.Two trains, 200 m and 205 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?
  16. 16.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  17. 17.Two trains, 70 m and 155 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?
  18. 18.Two trains, 110 m and 190 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?
  19. 19.Two trains, 50 m and 70 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  20. 20.Two trains, 60 m and 60 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?
  21. 21.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  22. 22.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  23. 23.A boat goes at 10 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?
  24. 24.Two trains, 230 m and 100 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  25. 25.Two trains, 90 m and 240 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  26. 26.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  27. 27.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  28. 28.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  29. 29.Two trains, 50 m and 195 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?
  30. 30.Two trains, 90 m and 260 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?
  31. 31.A boat goes 90 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.Two trains, 140 m and 175 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?
  33. 33.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes 51 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  37. 37.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  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 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?
  40. 40.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 10
  2. 2
  3. 9
  4. 3
  5. 6
  6. 10
  7. 8
  8. 15
  9. 28
  10. 130
  11. 50
  12. 15
  13. 20
  14. 96
  15. 9
  16. 5
  17. 9
  18. 12
  19. 4
  20. 6
  21. 20
  22. 23
  23. 10
  24. 11
  25. 11
  26. 18
  27. 120
  28. 20
  29. 7
  30. 10
  31. 4
  32. 9
  33. 11
  34. 9
  35. 12
  36. 29
  37. 350
  38. 21
  39. 50
  40. 22

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