Michael and his sister Mel share the job of mowing the grass in their yard. Michael mows \large \frac {1}{3} 3 1 of the yard, and Mel mows the rest. Mel can mow \frac {3}{4} 4 3 of the entire yard in an hour. How long will it take Mel to finish mowing her part of the yard?

The time it will take Mel to finish mowing her part of the yard is approximately 53.3 minutes or 0.89 hours  

Step-by-step explanation:

The given parameters are;

The portion of the yard mowed by Michael = 1/3 of the yard

The portion of the yard mowed by Mel =The rest of the yard = 1 - 1/3 = 2/3 of the yard

The rate at which Mel mows the yard = 3/4 of the yard in an hour = 3/4 of the yard/hour

The time it will take Mel to mow the remaining 2/3 portion of the yard = 2/3 of the yard/(3/4 of the yard/hour) = 8/9 hours  or approximately 0.89 hours.

∠cbe and ∠deb are same-side interior angles.

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