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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 409 · 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 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 90 m and 90 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?
  3. 3.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  4. 4.Two trains, 160 m and 140 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?
  5. 5.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  6. 6.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  7. 7.Two trains, 70 m and 230 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?
  8. 8.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  9. 9.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  10. 10.A boat goes 33 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  11. 11.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  12. 12.A boat goes 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  14. 14.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?
  15. 15.Two trains, 110 m and 165 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?
  16. 16.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  17. 17.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  18. 18.Two trains, 60 m and 140 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?
  19. 19.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 44 km upstream and come back?
  20. 20.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  21. 21.A boat goes 52 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  23. 23.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.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)?
  26. 26.Two trains, 100 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?
  27. 27.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 60 km upstream and come back?
  28. 28.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  29. 29.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  30. 30.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  31. 31.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  33. 33.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  34. 34.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 150 m and 200 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?
  36. 36.Two trains, 210 m and 150 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?
  37. 37.Two trains, 200 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?
  38. 38.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  39. 39.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  40. 40.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 8
  2. 4
  3. 12
  4. 12
  5. 41
  6. 2
  7. 12
  8. 19
  9. 22
  10. 3
  11. 28
  12. 17
  13. 22
  14. 7
  15. 11
  16. 14
  17. 41
  18. 8
  19. 48
  20. 27
  21. 5
  22. 37
  23. 30
  24. 18
  25. 5
  26. 10
  27. 12
  28. 44
  29. 160
  30. 20
  31. 8
  32. 26
  33. 14
  34. 30
  35. 10
  36. 9
  37. 12
  38. 24
  39. 150
  40. 6

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