Question

Hannah's least favorite weekly chore is mowing the lawn, even though it only

takes her about 30 minutes. Her family's lawn is 1,000 square yards, but her
parents are thinking about moving to the country, where they would have 5
acres of land. If the time it takes Hannah to mow a lawn is proportional to its
area, how many hours would it take her to mow 5 acres?

Answer 1

12.1 hours

Explanation:

You want to know the mowing time for 5 acres if Hannah can mow 1000 square yards in 1/2 hour.

Unit conversion

We can convert the acreage to square yards to facilitate the calculation:

5 ac × (4840 yd²)/(1 ac) = 24,200 yd²

Mowing rate

Hannah mows her lawn at the rate of ...

(1000 yd²)/(0.5 h) = 2000 yd²/h

Time

At this rate, the time it takes for 24200 yd² will be ...

(24,200 yd²)/(2000 yd²/h) = 12.1 h

It would take Hannah 12.1 hours to mow 5 acres.