SOLUTION: 41. Mr. Agbuya can mow a lawn in 3 hours. His sons, Michael and Ariel, can each do the job in 2 hours. If the father and the sons work together, how long would it take them to mow

Question 927834: 41. Mr. Agbuya can mow a lawn in 3 hours. His sons, Michael and Ariel, can each do the job in 2 hours. If the father and the sons work together, how long would it take them to mow the lawn?

Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!
Mr. Agbuya can mow a lawn in 3 hours.

So Mr. Agbuya's mowing rate is 1 lawn per 3 hours or  or

His sons, Michael and Ariel, can each do the job in 2 hours.

So each of thir mowing rates is 1 lawn per 2 hours or  or

If the father and the sons work together, how long would it take them to mow the lawn?

Let the answer by x hours.

Then their combined mowing rate is 1 lawn per x hours or  or 

The equation comes from






Clear of fractions by multiplying through by LCD of 6x.

Solve and get  hour.  So the can mow the lawn is 45 minutes.

Edwin

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