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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 580 · 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 running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  2. 2.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?
  3. 3.Two trains, 160 m and 160 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?
  4. 4.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  5. 5.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  6. 6.Two trains, 50 m and 50 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?
  7. 7.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  8. 8.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  9. 9.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  10. 10.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  12. 12.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 78 km upstream and come back?
  13. 13.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 50 m and 265 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, 80 m and 95 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?
  17. 17.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  18. 18.Two trains, 60 m and 240 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?
  19. 19.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  20. 20.Two trains, 140 m and 280 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?
  21. 21.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  22. 22.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  25. 25.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  27. 27.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 52 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  30. 30.Two trains, 210 m and 90 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 boat goes 30 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)?
  32. 32.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 18 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 170 m and 250 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?
  36. 36.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 112 km upstream and come back?
  37. 37.Two trains, 230 m and 120 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.Two trains, 160 m and 160 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?
  39. 39.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 60 m and 420 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?

Answer key

  1. 380
  2. 18
  3. 8
  4. 14
  5. 23
  6. 4
  7. 600
  8. 41
  9. 38
  10. 9
  11. 7
  12. 42
  13. 17
  14. 24
  15. 9
  16. 7
  17. 26
  18. 6
  19. 1
  20. 12
  21. 31
  22. 3
  23. 12
  24. 150
  25. 5
  26. 36
  27. 5
  28. 3
  29. 31
  30. 12
  31. 10
  32. 5
  33. 3
  34. 20
  35. 12
  36. 35
  37. 10
  38. 8
  39. 27
  40. 12

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