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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 724 · 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 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.Two trains, 160 m and 140 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?
  4. 4.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  5. 5.Two trains, 160 m and 225 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?
  6. 6.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  7. 7.Two trains, 50 m and 230 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?
  8. 8.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 120 m and 195 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?
  10. 10.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  11. 11.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  12. 12.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  13. 13.A boat goes 42 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  14. 14.Two trains, 110 m and 100 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?
  15. 15.A boat goes at 14 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?
  16. 16.Two trains, 60 m and 255 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?
  17. 17.Two trains, 60 m and 140 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 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 54 km upstream and come back?
  19. 19.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  20. 20.Two trains, 150 m and 130 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?
  21. 21.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  22. 22.A boat goes 38 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.Two trains, 160 m and 65 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?
  24. 24.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 60 m and 220 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?
  26. 26.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  27. 27.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  29. 29.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  30. 30.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  32. 32.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  33. 33.Two trains, 100 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?
  34. 34.A boat goes 36 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.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?
  36. 36.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  37. 37.A boat goes 76 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  39. 39.Two trains, 130 m and 230 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?
  40. 40.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?

Answer key

  1. 19
  2. 11
  3. 10
  4. 20
  5. 11
  6. 20
  7. 8
  8. 6
  9. 7
  10. 22
  11. 16
  12. 13
  13. 5
  14. 6
  15. 7
  16. 7
  17. 10
  18. 24
  19. 315
  20. 8
  21. 230
  22. 16
  23. 9
  24. 29
  25. 8
  26. 75
  27. 11
  28. 165
  29. 23
  30. 25
  31. 31
  32. 220
  33. 9
  34. 5
  35. 9
  36. 250
  37. 5
  38. 17
  39. 9
  40. 520

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