Question

Michael and his sister Mel share the job of mowing the grass in their yard. Michael mows ⅓ of the yard, and Mel mows the rest. Mel can mow ¾ of the entire yard in an hour.How long will it take Mel to finish mowing the yard?? Also after Michael mows 1/3 of the yard what fraction of the yard does mel need to mow?

Answer 1

Mel will take 1.5 hours to finish mowing the yard, and she needs to mow 2/3 of the yard.

Step-by-step explanation:

To calculate how long it will take Mel to finish mowing the yard, we first need to find out how much of the yard Mel needs to mow. Since Michael mows ⅓ of the yard, Mel needs to mow the remaining ⅔ of the yard. Mel can mow ¾ of the entire yard in an hour, so to find out how long it will take her to finish mowing the entire yard, we can set up a proportion:

⅔ (yard) = 1 hour

1 (yard) = x hours

By cross-multiplying, we get ⅔ * x = 1 * 1, and solving for x, we find x = 1.5 hours. Therefore, it will take Mel 1.5 hours to finish mowing the yard.

After Michael mows ⅓ of the yard, Mel needs to mow the remaining ⅔ of the yard. So, Mel needs to mow ⅔ * 1 = 2/3 of the yard.

Answer 2

Michael Mows = 1/3 of the yard

Mel mows the rest = 1-1/3 = 2/3 of the yard

Mel mows = 3/4 of the yard in an hour

After Michael mows 1/3 of the yard what fraction of the yard does Mel need to mow?​

1- 1/3 = 2/3 of the yard

How long will it take Mel to finish mowing the yard??

2/3 / (3/4) = 8/9 hours = 0.89 hours