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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 507 · 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 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  2. 2.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  3. 3.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 110 m and 130 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?
  5. 5.Two trains, 170 m and 250 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.Two trains, 230 m and 370 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?
  7. 7.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  8. 8.Two trains, 60 m and 60 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 train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  10. 10.A boat goes 92 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 56 km upstream and come back?
  12. 12.Two trains, 140 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?
  13. 13.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  14. 14.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 51 km upstream and come back?
  15. 15.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  18. 18.Two trains, 60 m and 360 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?
  19. 19.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  20. 20.A boat goes 57 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.Two trains, 90 m and 155 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?
  22. 22.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  23. 23.Two trains, 220 m and 80 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?
  24. 24.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  25. 25.Two trains, 70 m and 280 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?
  26. 26.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  28. 28.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 66 km upstream and come back?
  29. 29.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 55 km upstream and come back?
  30. 30.Two trains, 120 m and 80 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?
  31. 31.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.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?
  33. 33.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 28 km upstream and come back?
  34. 34.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.Two trains, 110 m and 90 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?
  36. 36.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  38. 38.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?

Answer key

  1. 25
  2. 90
  3. 17
  4. 6
  5. 12
  6. 12
  7. 330
  8. 4
  9. 140
  10. 18
  11. 18
  12. 12
  13. 36
  14. 20
  15. 24
  16. 20
  17. 24
  18. 12
  19. 37
  20. 17
  21. 7
  22. 200
  23. 12
  24. 50
  25. 10
  26. 24
  27. 70
  28. 24
  29. 60
  30. 10
  31. 3
  32. 10
  33. 9
  34. 2
  35. 5
  36. 9
  37. 200
  38. 20
  39. 28
  40. 440

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