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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 802 · 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 5 seconds. How long is the train (in metres)?
  2. 2.Two trains, 220 m and 130 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  3. 3.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  4. 4.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  5. 5.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  7. 7.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  8. 8.A boat goes 22 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  11. 11.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 110 km upstream and come back?
  12. 12.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  14. 14.A boat goes 50 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)?
  15. 15.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  16. 16.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 52 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A boat goes 60 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  19. 19.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  20. 20.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 99 km upstream and come back?
  21. 21.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  22. 22.Two trains, 150 m and 90 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?
  23. 23.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  24. 24.Two trains, 60 m and 90 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?
  25. 25.A boat goes 88 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A boat goes 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  28. 28.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  29. 29.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  30. 30.A boat goes 60 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.Two trains, 70 m and 105 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  32. 32.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  33. 33.A boat goes 55 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  35. 35.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  36. 36.A boat goes 36 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  38. 38.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 105 km upstream and come back?
  39. 39.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?

Answer key

  1. 75
  2. 10
  3. 32
  4. 13
  5. 8
  6. 140
  7. 33
  8. 8
  9. 21
  10. 9
  11. 60
  12. 10
  13. 30
  14. 8
  15. 30
  16. 27
  17. 8
  18. 4
  19. 165
  20. 108
  21. 25
  22. 8
  23. 230
  24. 5
  25. 19
  26. 17
  27. 27
  28. 405
  29. 16
  30. 3
  31. 5
  32. 29
  33. 8
  34. 240
  35. 24
  36. 10
  37. 90
  38. 108
  39. 10
  40. 170

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