Question

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?

Answer 1

Answer:

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.