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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 37 · 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 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  3. 3.Two trains, 150 m and 235 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?
  4. 4.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  5. 5.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  6. 6.Two trains, 120 m and 320 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?
  7. 7.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  8. 8.Two trains, 70 m and 80 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?
  9. 9.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  10. 10.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A boat goes 80 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 80 m and 70 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 at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 27 km upstream and come back?
  15. 15.A boat goes 30 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  17. 17.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 55 km downstream in 5 hours and 5 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 220 m and 80 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?
  23. 23.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  25. 25.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.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)?
  27. 27.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 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 train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  31. 31.A boat goes 36 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)?
  32. 32.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 160 m and 320 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?
  34. 34.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  36. 36.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  38. 38.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  39. 39.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  40. 40.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 14
  2. 200
  3. 11
  4. 39
  5. 600
  6. 11
  7. 26
  8. 6
  9. 345
  10. 9
  11. 11
  12. 13
  13. 5
  14. 28
  15. 13
  16. 43
  17. 8
  18. 29
  19. 6
  20. 19
  21. 30
  22. 10
  23. 21
  24. 29
  25. 28
  26. 6
  27. 9
  28. 18
  29. 160
  30. 29
  31. 8
  32. 16
  33. 12
  34. 20
  35. 17
  36. 22
  37. 37
  38. 27
  39. 32
  40. 11

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