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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 253 · 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 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  2. 2.Two trains, 130 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?
  3. 3.Two trains, 60 m and 60 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?
  4. 4.Two trains, 130 m and 190 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?
  5. 5.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  6. 6.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  8. 8.Two trains, 100 m and 215 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?
  9. 9.A boat goes 85 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  11. 11.Two trains, 90 m and 110 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?
  12. 12.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.Two trains, 160 m and 200 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?
  15. 15.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  16. 16.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  18. 18.A boat goes 57 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  19. 19.A boat goes 70 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  23. 23.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  24. 24.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  25. 25.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  26. 26.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  27. 27.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  28. 28.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 12 km upstream and come back?
  30. 30.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  31. 31.A boat goes 44 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  33. 33.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  36. 36.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 72 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 24 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 300
  2. 6
  3. 4
  4. 8
  5. 17
  6. 16
  7. 650
  8. 9
  9. 3
  10. 1
  11. 10
  12. 29
  13. 6
  14. 9
  15. 36
  16. 12
  17. 195
  18. 3
  19. 9
  20. 6
  21. 12
  22. 20
  23. 270
  24. 41
  25. 23
  26. 42
  27. 250
  28. 5
  29. 5
  30. 30
  31. 4
  32. 100
  33. 20
  34. 6
  35. 31
  36. 25
  37. 1
  38. 14
  39. 21
  40. 11

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