Question

claire mowed 5 lawns last week. show mowed each lawn in 7/12 hour. she mowed the same lawns this week in 5/12 hour each using her new lawn mower. How many times longer was Claire's time to now all the lawns last week than this week?

Answer 1

`(5)/(6)` hour or 50 minutes

Explanation:

Last week:

Claire mowed 5 lawns

She mowed each lawn in
`(7)/(12)` hour.

She spent

`5\cdot (7)/(12)=(35)/(12)=2(11)/(12)`

hours to mow 5 lawns.

This week:

Claire mowed 5 lawns

She mowed each lawn in
`(5)/(12)` hour.

She spent

`5\cdot (5)/(12)=(25)/(12)=2(1)/(12)`

hours to mow 5 lawns.

Difference:

`2(11)/(12)-2(1)/(12)=(11)/(12)-(1)/(12)=(10)/(12)=(5)/(6)`

hour or 50 minutes.