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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 284 · 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 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  2. 2.Two trains, 180 m and 315 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?
  3. 3.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  4. 4.Two trains, 80 m and 130 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?
  5. 5.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  6. 6.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  7. 7.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  9. 9.A boat goes 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 60 km upstream and come back?
  13. 13.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  14. 14.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  15. 15.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.Two trains, 50 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?
  17. 17.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  19. 19.A boat goes 33 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.Two trains, 90 m and 295 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?
  21. 21.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  22. 22.Two trains, 170 m and 70 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?
  23. 23.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 88 km upstream and come back?
  24. 24.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  25. 25.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  26. 26.A boat goes 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  27. 27.Two trains, 110 m and 205 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?
  28. 28.A boat goes 76 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  30. 30.A boat goes 76 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  32. 32.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  33. 33.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  34. 34.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 24 km upstream and come back?
  36. 36.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  37. 37.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 25 km upstream and come back?
  38. 38.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  40. 40.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 25
  2. 11
  3. 14
  4. 7
  5. 30
  6. 60
  7. 8
  8. 38
  9. 2
  10. 11
  11. 5
  12. 8
  13. 16
  14. 28
  15. 6
  16. 8
  17. 27
  18. 39
  19. 10
  20. 11
  21. 24
  22. 6
  23. 33
  24. 350
  25. 32
  26. 3
  27. 7
  28. 3
  29. 17
  30. 5
  31. 225
  32. 200
  33. 24
  34. 28
  35. 6
  36. 28
  37. 26
  38. 10
  39. 100
  40. 24

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