Problema Solution

Mr. Agbuya can mow a lawn in 3hours. His sons, Michael and Arnel can each do the job in 2hours. If the father and his sons work together. How long will it take them to mow a lawn?

Answer provided by our tutors

let


x = the number of hours they need to mow the lawn altogether


1/x lawn per hour is the together rate


Mr. Agbuya can mow a lawn in 3 hours thus is rate is 1/3 lawns per hour


Michael and Arnel can each do the job in 2 hours thus the rate of each of them is: 1/2 lawn per hour


1/3 + 1/2 + 1/2 = 1/x


by solving we find:


x = 0.75 hr


x = 60*0.75 min


x = 45 min


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it will take them 45 minutes to mow the lawn together.