Question

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

Answer 1

Answer: $2\frac{2}{3}\ hours$

Step-by-step explanation:

Given: The total time taken by Evan to mow the 3 lawns = $6\frac{3}{4}=\frac{27}{4}\ \text{hours}$

Time taken by Evan to mow the first lawn =$2\frac{1}{3}=\frac{7}{3}\ \text{hours}$

Time taken by Evan to mow the second lawn =$1\frac{3}{4}=\frac{7}{4}\ \text{hours}$

Now,Time taken by Evan to mow the third lawn =$\frac{27}{4}-\frac{7}{3}-\frac{7}{4}$

⇒Time taken by Evan to mow the third lawn =$\frac{81-28-21}{12}$

⇒Time taken by Evan to mow the third lawn =$\frac{32}{12}=\frac{8}{3}=2\frac{2}{3}\ hours$

Hence, the time taken by Evan to mow the third lawn = $2\frac{2}{3}\ hours$