Question

Claire mowed 4 lawns last week. She mowed each lawn in startfraction 7 over 27 endfraction hour. She mowed the same lawns this week in startfraction 5 over 27 endfraction hour each using her new lawn mower. How many times longer was​ claire's time to mow all the lawns last week than this​ week?

Answer 1

Claire's time to mow all the lawns last week was 1.4 times longer than this week.

Explanation

Claire mowed each lawn in $\frac{7}{27}$ hour last week.

So, the total time taken to mow all 4 lawns last week $=\frac{7}{27}*4=\frac{28}{27}$ hours.

She mowed the same lawns this week and took $\frac{5}{27}$ hour for each.

So, the total time taken to mow all 4 lawns this week $=\frac{5}{27}*4=\frac{20}{27}$ hours.

Now.....

(Total time in last week / Total time in this week)  $=\frac{(\frac{28}{27})}{(\frac{20}{27})} = \frac{28}{20}=\frac{7}{5}=1.4$

So, Claire's time to mow all the lawns last week was 1.4 times longer than this week.