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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 149 · 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 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  2. 2.A boat goes 54 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  3. 3.Two trains, 170 m and 180 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?
  4. 4.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 140 m and 135 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?
  6. 6.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  7. 7.Two trains, 60 m and 300 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?
  8. 8.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  9. 9.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  10. 10.Two trains, 160 m and 80 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?
  11. 11.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 84 km upstream and come back?
  12. 12.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  13. 13.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  15. 15.Two trains, 80 m and 120 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 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  18. 18.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 96 km upstream and come back?
  19. 19.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  20. 20.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  21. 21.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  22. 22.A boat goes 27 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)?
  23. 23.A boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 40 km upstream and come back?
  24. 24.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  25. 25.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  26. 26.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?
  27. 27.Two trains, 130 m and 185 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?
  28. 28.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  29. 29.Two trains, 160 m and 260 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?
  30. 30.A boat goes 68 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)?
  31. 31.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)?
  32. 32.Two trains, 80 m and 120 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?
  33. 33.A boat goes 64 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  34. 34.Two trains, 60 m and 140 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?
  35. 35.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  36. 36.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  37. 37.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  38. 38.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  40. 40.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 38
  2. 4
  3. 7
  4. 12
  5. 11
  6. 225
  7. 12
  8. 480
  9. 28
  10. 6
  11. 88
  12. 210
  13. 24
  14. 360
  15. 8
  16. 17
  17. 460
  18. 30
  19. 90
  20. 380
  21. 30
  22. 6
  23. 7
  24. 1
  25. 285
  26. 4
  27. 7
  28. 31
  29. 12
  30. 16
  31. 3
  32. 10
  33. 4
  34. 10
  35. 13
  36. 27
  37. 350
  38. 16
  39. 220
  40. 27

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