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A body covers 1/3rd part of total distance with 10km/h the second 1/3rd part with 20km/h the third 1/3rd part with 60km/h what is the average speed?
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Answer:

Given:


  • A body covers 1/3rd part of total distance with 10km/h

  • The second 1/3rd part with 20km/h

  • The third 1/3rd part with 60km/h


To Find: Average speed of the body

Solution:

Let's assume the total distance as D.

Then, the distance covered in each part will be:


  • 1st part = D/3

  • 2nd part = D/3

  • 3rd part = D/3


Let's calculate the time taken to cover each part:


  • 1st part = (D/3) / 10 = D/30 hours

  • 2nd part = (D/3) / 20 = D/60 hours

  • 3rd part = (D/3) / 60 = D/180 hours


Now, let's calculate the total time taken:

Total Time = (D/30) + (D/60) + (D/180) = (2D/45) hours

Finally, let's calculate the average speed:

Average Speed = Total Distance / Total Time

Average Speed = D / (2D/45) = 22.5 km/h

Therefore, the average speed of the body is 22.5 km/h.
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