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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 151 · 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 51 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 72 km upstream and come back?
  3. 3.Two trains, 110 m and 130 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 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  5. 5.Two trains, 60 m and 100 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?
  6. 6.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  8. 8.A boat goes 55 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  10. 10.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 50 m and 280 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?
  12. 12.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  13. 13.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?
  14. 14.Two trains, 70 m and 230 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?
  15. 15.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.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?
  17. 17.Two trains, 170 m and 130 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?
  18. 18.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  19. 19.A boat goes 55 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  20. 20.Two trains, 100 m and 320 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 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.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?
  24. 24.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  25. 25.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  26. 26.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 24 km upstream and come back?
  27. 27.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  29. 29.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 22 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)?
  31. 31.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  32. 32.Two trains, 90 m and 90 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?
  33. 33.A boat goes 80 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.Two trains, 90 m and 210 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?
  35. 35.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  36. 36.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  38. 38.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?

Answer key

  1. 5
  2. 16
  3. 8
  4. 32
  5. 8
  6. 28
  7. 12
  8. 8
  9. 110
  10. 20
  11. 11
  12. 33
  13. 16
  14. 12
  15. 22
  16. 12
  17. 10
  18. 23
  19. 2
  20. 12
  21. 30
  22. 5
  23. 18
  24. 26
  25. 27
  26. 5
  27. 6
  28. 21
  29. 29
  30. 8
  31. 80
  32. 6
  33. 1
  34. 12
  35. 25
  36. 28
  37. 150
  38. 22
  39. 20
  40. 21

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