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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 243 · 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 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 52 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  3. 3.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  6. 6.Two trains, 90 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?
  7. 7.Two trains, 190 m and 85 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  8. 8.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  9. 9.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  10. 10.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  11. 11.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  12. 12.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  13. 13.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  15. 15.Two trains, 220 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?
  16. 16.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  17. 17.A boat goes 51 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)?
  18. 18.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 42 km upstream and come back?
  20. 20.Two trains, 160 m and 65 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?
  21. 21.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 75 km upstream and come back?
  22. 22.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  23. 23.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  25. 25.Two trains, 160 m and 155 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?
  26. 26.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 220 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?
  29. 29.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 170 m and 150 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?
  32. 32.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  33. 33.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  34. 34.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  36. 36.A boat goes 44 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  38. 38.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  39. 39.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  40. 40.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 5
  2. 3
  3. 7
  4. 19
  5. 300
  6. 10
  7. 11
  8. 90
  9. 190
  10. 23
  11. 23
  12. 300
  13. 23
  14. 39
  15. 11
  16. 23
  17. 16
  18. 24
  19. 24
  20. 5
  21. 80
  22. 525
  23. 5
  24. 16
  25. 7
  26. 10
  27. 12
  28. 9
  29. 8
  30. 14
  31. 8
  32. 21
  33. 29
  34. 1
  35. 75
  36. 3
  37. 22
  38. 30
  39. 650
  40. 30

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