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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 997 · 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 95 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  2. 2.A boat goes 50 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  3. 3.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  4. 4.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  5. 5.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  6. 6.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 110 m and 70 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?
  8. 8.A boat goes 75 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  9. 9.A boat goes 33 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.Two trains, 170 m and 75 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?
  11. 11.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 12 km upstream and come back?
  12. 12.Two trains, 50 m and 150 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?
  13. 13.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  14. 14.A boat goes 48 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  16. 16.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 24 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 50 m and 70 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?
  20. 20.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  21. 21.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)?
  22. 22.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  24. 24.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 50 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 100 km upstream and come back?
  27. 27.Two trains, 60 m and 60 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?
  28. 28.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  29. 29.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 96 km upstream and come back?
  30. 30.Two trains, 200 m and 100 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?
  31. 31.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  32. 32.A boat goes at 18 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 27 km upstream and come back?
  33. 33.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  34. 34.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 70 m and 230 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?
  37. 37.Two trains, 240 m and 110 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?
  38. 38.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 84 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.Two trains, 170 m and 80 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?

Answer key

  1. 3
  2. 1
  3. 33
  4. 250
  5. 500
  6. 21
  7. 6
  8. 5
  9. 7
  10. 7
  11. 7
  12. 5
  13. 195
  14. 5
  15. 320
  16. 19
  17. 8
  18. 17
  19. 4
  20. 18
  21. 6
  22. 10
  23. 27
  24. 29
  25. 5
  26. 35
  27. 6
  28. 600
  29. 22
  30. 12
  31. 20
  32. 4
  33. 28
  34. 3
  35. 19
  36. 10
  37. 7
  38. 12
  39. 18
  40. 10

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