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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 739 · 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 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 65 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  3. 3.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  4. 4.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  5. 5.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 90 km upstream and come back?
  7. 7.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  8. 8.Two trains, 120 m and 150 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  9. 9.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 42 km upstream and come back?
  10. 10.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  11. 11.Two trains, 220 m and 140 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  12. 12.A boat goes 46 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  13. 13.Two trains, 80 m and 100 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?
  14. 14.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  16. 16.Two trains, 80 m and 70 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?
  17. 17.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?
  18. 18.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  19. 19.Two trains, 100 m and 50 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 train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.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)?
  23. 23.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  24. 24.A boat goes 55 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  26. 26.Two trains, 60 m and 90 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?
  27. 27.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  28. 28.Two trains, 100 m and 125 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?
  29. 29.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  30. 30.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  31. 31.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?
  32. 32.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  33. 33.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  34. 34.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)?
  35. 35.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.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 22 km upstream and come back?
  37. 37.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 66 km upstream and come back?
  39. 39.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  40. 40.Two trains, 80 m and 120 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?

Answer key

  1. 10
  2. 2
  3. 230
  4. 17
  5. 30
  6. 96
  7. 33
  8. 6
  9. 16
  10. 110
  11. 8
  12. 3
  13. 6
  14. 11
  15. 24
  16. 6
  17. 24
  18. 575
  19. 5
  20. 26
  21. 8
  22. 5
  23. 500
  24. 10
  25. 190
  26. 5
  27. 37
  28. 9
  29. 34
  30. 360
  31. 18
  32. 120
  33. 23
  34. 3
  35. 24
  36. 24
  37. 28
  38. 24
  39. 12
  40. 5

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