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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 115 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  2. 2.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 69 km upstream and come back?
  4. 4.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  5. 5.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  6. 6.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  7. 7.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  8. 8.Two trains, 110 m and 205 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?
  9. 9.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  11. 11.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?
  12. 12.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  13. 13.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 100 m and 260 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?
  16. 16.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  17. 17.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?
  18. 18.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  19. 19.Two trains, 170 m and 280 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?
  20. 20.A boat goes 57 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 190 m and 110 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?
  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 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  25. 25.Two trains, 250 m and 50 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?
  26. 26.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?
  27. 27.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  28. 28.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 36 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  33. 33.Two trains, 50 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?
  34. 34.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  35. 35.Two trains, 60 m and 300 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?
  36. 36.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  38. 38.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  40. 40.A boat goes at 7 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?

Answer key

  1. 390
  2. 11
  3. 72
  4. 420
  5. 14
  6. 28
  7. 350
  8. 7
  9. 5
  10. 16
  11. 13
  12. 37
  13. 4
  14. 7
  15. 8
  16. 120
  17. 28
  18. 10
  19. 10
  20. 14
  21. 30
  22. 6
  23. 110
  24. 30
  25. 10
  26. 96
  27. 37
  28. 27
  29. 23
  30. 10
  31. 3
  32. 23
  33. 10
  34. 580
  35. 8
  36. 20
  37. 345
  38. 18
  39. 31
  40. 28

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