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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 285 · 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 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  2. 2.A boat goes 48 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.Two trains, 100 m and 320 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 train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 30 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 99 km upstream and come back?
  8. 8.Two trains, 230 m and 100 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?
  9. 9.A boat goes 44 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.Two trains, 50 m and 130 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?
  11. 11.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  13. 13.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  14. 14.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  15. 15.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  17. 17.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  18. 18.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  19. 19.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  21. 21.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  22. 22.Two trains, 160 m and 85 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  23. 23.A boat goes 120 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  25. 25.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  26. 26.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  27. 27.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  28. 28.Two trains, 90 m and 155 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?
  29. 29.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  30. 30.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  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 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  33. 33.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  34. 34.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  35. 35.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  36. 36.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 64 km upstream and come back?
  38. 38.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.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 48 km upstream and come back?
  40. 40.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?

Answer key

  1. 700
  2. 12
  3. 12
  4. 29
  5. 4
  6. 11
  7. 44
  8. 11
  9. 18
  10. 9
  11. 6
  12. 14
  13. 11
  14. 22
  15. 12
  16. 44
  17. 31
  18. 280
  19. 14
  20. 290
  21. 220
  22. 7
  23. 4
  24. 22
  25. 24
  26. 17
  27. 550
  28. 7
  29. 28
  30. 120
  31. 150
  32. 24
  33. 21
  34. 22
  35. 120
  36. 7
  37. 12
  38. 5
  39. 28
  40. 35

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