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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 312 · 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 boat goes 69 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.Two trains, 190 m and 55 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?
  3. 3.Two trains, 110 m and 135 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?
  4. 4.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  6. 6.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  7. 7.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  8. 8.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  11. 11.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  14. 14.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  15. 15.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 36 km upstream and come back?
  16. 16.A boat goes 40 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  18. 18.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  19. 19.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  20. 20.Two trains, 190 m and 160 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?
  21. 21.Two trains, 90 m and 60 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?
  22. 22.Two trains, 210 m and 210 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?
  23. 23.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  24. 24.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?
  25. 25.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  27. 27.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  28. 28.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 60 km upstream and come back?
  29. 29.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  30. 30.A boat goes 33 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  32. 32.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  33. 33.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  34. 34.Two trains, 70 m and 50 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  35. 35.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  36. 36.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  37. 37.Two trains, 70 m and 245 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?
  38. 38.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 96 km upstream and come back?
  39. 39.A boat goes at 16 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 96 km upstream and come back?
  40. 40.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?

Answer key

  1. 3
  2. 7
  3. 7
  4. 16
  5. 36
  6. 22
  7. 725
  8. 14
  9. 12
  10. 70
  11. 7
  12. 12
  13. 450
  14. 24
  15. 40
  16. 3
  17. 600
  18. 19
  19. 19
  20. 10
  21. 6
  22. 12
  23. 31
  24. 16
  25. 6
  26. 435
  27. 27
  28. 20
  29. 5
  30. 4
  31. 24
  32. 27
  33. 180
  34. 4
  35. 15
  36. 13
  37. 9
  38. 36
  39. 16
  40. 225

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