Question

It takes Evan 6 3/4 hours to mow 3 lawns.It takes him 2 1/3 hours to mow Mr.Gals lawn and 1 3/4 hours to mow Ms. Lee's lawn. How many hours does it take Evan to mow the lawn?

Answer 1

It takes him
`2(2)/(3)` hours to mow the third lawn

Step-by-step explanation:

We are given that Evan takes
`2(1)/(3)` hours to mow Mr. Gals lawn and
`1(3)/(4)` hours to mow Mrs. Lee's lawn

This means that:

Time taken to mow the two lawns =
`2(1)/(3) + 1(3)/(4) = 4(1)/(12)` hours

Now, we are given that the time taken to mow the three lawns is
`6(3)/(4)` hours

This means that:

Time taken to mow the third lawn =
`6(3)/(4) - 4(1)/(12) = 2(2)/(3)` hours

Hope this helps :)