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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 877 · 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, 80 m and 280 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.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  3. 3.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  5. 5.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  6. 6.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  7. 7.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  8. 8.Two trains, 80 m and 100 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?
  9. 9.Two trains, 170 m and 180 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?
  10. 10.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  11. 11.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes 60 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  16. 16.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 105 km upstream and come back?
  17. 17.Two trains, 170 m and 310 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?
  18. 18.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  19. 19.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.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?
  21. 21.Two trains, 70 m and 205 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?
  22. 22.Two trains, 170 m and 145 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?
  23. 23.A boat goes 70 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.Two trains, 90 m and 350 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?
  25. 25.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 93 km upstream and come back?
  26. 26.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  27. 27.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  28. 28.A boat goes 45 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)?
  29. 29.Two trains, 90 m and 60 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?
  30. 30.Two trains, 250 m and 100 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?
  31. 31.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  32. 32.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  33. 33.Two trains, 240 m and 310 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?
  34. 34.Two trains, 70 m and 370 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?
  35. 35.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  37. 37.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  38. 38.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 112 km upstream and come back?

Answer key

  1. 9
  2. 14
  3. 8
  4. 320
  5. 250
  6. 240
  7. 24
  8. 9
  9. 10
  10. 325
  11. 3
  12. 9
  13. 15
  14. 20
  15. 220
  16. 36
  17. 12
  18. 38
  19. 21
  20. 10
  21. 11
  22. 7
  23. 9
  24. 11
  25. 96
  26. 37
  27. 375
  28. 11
  29. 5
  30. 10
  31. 38
  32. 120
  33. 11
  34. 11
  35. 20
  36. 50
  37. 100
  38. 6
  39. 22
  40. 60

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