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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 360 · 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 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  2. 2.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  4. 4.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  5. 5.Two trains, 90 m and 135 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?
  6. 6.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  7. 7.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  8. 8.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  9. 9.Two trains, 200 m and 200 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?
  10. 10.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  11. 11.Two trains, 190 m and 110 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?
  12. 12.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  13. 13.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  14. 14.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  16. 16.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  18. 18.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  19. 19.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  20. 20.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.Two trains, 90 m and 270 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?
  22. 22.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A boat goes 56 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  25. 25.A boat goes 45 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)?
  26. 26.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 32 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  31. 31.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  32. 32.A boat goes 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.Two trains, 200 m and 115 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?
  34. 34.Two trains, 60 m and 180 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?
  35. 35.Two trains, 230 m and 190 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?
  36. 36.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  37. 37.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 80 m and 270 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?
  39. 39.Two trains, 50 m and 200 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 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?

Answer key

  1. 30
  2. 9
  3. 1
  4. 23
  5. 9
  6. 24
  7. 37
  8. 33
  9. 10
  10. 2
  11. 12
  12. 540
  13. 34
  14. 8
  15. 270
  16. 22
  17. 100
  18. 17
  19. 20
  20. 17
  21. 12
  22. 5
  23. 9
  24. 165
  25. 10
  26. 11
  27. 25
  28. 25
  29. 7
  30. 120
  31. 50
  32. 12
  33. 9
  34. 8
  35. 12
  36. 29
  37. 19
  38. 7
  39. 10
  40. 27

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