Question

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

Answer 1

Answer:

Approximately 53 mins

Step-by-step explanation:

Yard mowed by Michael = ⅓ of the yard

Yard mowed by Mel = 1 - ⅓ = $\frac{1}{1} - \frac{1}{3} = \frac{3 - 1}{3} = \frac{2}{3}$

Rate at which Mel can mow a yard = ¾ of the yard in 1 hour

That is, it would take 1 hr to mow ¾ of the yard.

If ¾ yard requires 1 hr, then,

⅔ yard would require x hr

Thus:

x*¾ = 1*⅔

$\frac{3x}{4} = \frac{2}{3}$

Cross multiply

$3(3x) = 4(2)$

$9x = 8$

Divide both sides by 9

$x = \frac{8}{9}$

It would take Mel $\frac{8}{9} hr$ to finish mowing her part, which is approximately 53 mins. $(\frac{8}{9}*60mins = 53.3mins$.