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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 297 · 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 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  2. 2.Two trains, 80 m and 95 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?
  3. 3.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  4. 4.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 70 km upstream and come back?
  5. 5.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  6. 6.A boat goes 39 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A boat goes 80 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.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?
  10. 10.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  11. 11.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  13. 13.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 78 km upstream and come back?
  15. 15.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  17. 17.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  18. 18.Two trains, 160 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?
  19. 19.Two trains, 160 m and 160 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?
  20. 20.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  22. 22.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  24. 24.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  25. 25.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  26. 26.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  27. 27.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 72 km upstream and come back?
  28. 28.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  30. 30.Two trains, 150 m and 300 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?
  31. 31.Two trains, 170 m and 55 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?
  32. 32.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  33. 33.Two trains, 200 m and 70 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?
  34. 34.Two trains, 160 m and 120 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?
  35. 35.Two trains, 190 m and 170 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?
  36. 36.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  37. 37.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 104 km upstream and come back?
  38. 38.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  39. 39.Two trains, 250 m and 50 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?
  40. 40.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?

Answer key

  1. 26
  2. 5
  3. 250
  4. 24
  5. 30
  6. 9
  7. 1
  8. 26
  9. 7
  10. 24
  11. 15
  12. 30
  13. 14
  14. 32
  15. 10
  16. 37
  17. 35
  18. 7
  19. 8
  20. 13
  21. 29
  22. 30
  23. 70
  24. 21
  25. 22
  26. 21
  27. 42
  28. 17
  29. 31
  30. 9
  31. 9
  32. 27
  33. 9
  34. 8
  35. 12
  36. 18
  37. 39
  38. 180
  39. 12
  40. 700

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