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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 411 · 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 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  2. 2.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  3. 3.Two trains, 60 m and 220 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  4. 4.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  5. 5.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  7. 7.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  8. 8.Two trains, 230 m and 70 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 28 seconds. How long is the train (in metres)?
  10. 10.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 70 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?
  13. 13.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  14. 14.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 18 km upstream and come back?
  15. 15.Two trains, 50 m and 445 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 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  17. 17.Two trains, 70 m and 110 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?
  18. 18.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  19. 19.A boat goes 30 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 90 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?
  22. 22.Two trains, 190 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?
  23. 23.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  24. 24.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 48 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  26. 26.Two trains, 70 m and 210 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?
  27. 27.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  29. 29.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 45 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  32. 32.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 60 km upstream and come back?
  33. 33.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  34. 34.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 40 km upstream and come back?
  35. 35.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  36. 36.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  37. 37.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  40. 40.Two trains, 120 m and 80 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?

Answer key

  1. 180
  2. 525
  3. 8
  4. 330
  5. 5
  6. 250
  7. 35
  8. 10
  9. 280
  10. 30
  11. 13
  12. 5
  13. 34
  14. 20
  15. 11
  16. 600
  17. 9
  18. 240
  19. 3
  20. 18
  21. 11
  22. 8
  23. 34
  24. 29
  25. 5
  26. 8
  27. 28
  28. 35
  29. 29
  30. 2
  31. 41
  32. 11
  33. 34
  34. 12
  35. 150
  36. 42
  37. 13
  38. 30
  39. 100
  40. 5

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