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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 125 · 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 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  2. 2.Two trains, 120 m and 80 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?
  3. 3.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  4. 4.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  5. 5.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  8. 8.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  10. 10.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  13. 13.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 180 m and 135 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?
  16. 16.Two trains, 60 m and 180 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  17. 17.A boat goes 84 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  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 boat goes 51 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 48 km upstream and come back?
  22. 22.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  23. 23.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  25. 25.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 104 km upstream and come back?
  26. 26.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  27. 27.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  28. 28.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  29. 29.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  30. 30.Two trains, 150 m and 75 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?
  31. 31.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 110 m and 205 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?
  33. 33.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 12 km upstream and come back?
  34. 34.Two trains, 190 m and 195 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?
  35. 35.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  38. 38.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  39. 39.Two trains, 180 m and 70 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?
  40. 40.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?

Answer key

  1. 37
  2. 4
  3. 28
  4. 24
  5. 7
  6. 11
  7. 33
  8. 6
  9. 90
  10. 14
  11. 7
  12. 105
  13. 25
  14. 24
  15. 9
  16. 6
  17. 19
  18. 21
  19. 3
  20. 13
  21. 14
  22. 125
  23. 26
  24. 40
  25. 65
  26. 13
  27. 280
  28. 21
  29. 450
  30. 9
  31. 7
  32. 7
  33. 4
  34. 11
  35. 9
  36. 6
  37. 16
  38. 20
  39. 10
  40. 24

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