Question

Darcy harvests 8.3/4 acres of corn every 5/6 end fraction of an hour. Darcy harvests corn at a constant rate. How many acres does she harvest per hour?

Answer 1

Given:

Darcy harvests
`8(3)/(4)` acres of corn every
`(5)/(6)` of an hour.

Darcy harvests corn at a constant rate.

To find:

How many acres does she harvest per hour?

Solution:

We have,

Acres harvest in
`(5)/(6)` of an hours =
`8(3)/(4)`

Acres harvest in 1 hour =
`8(3)/(4)* (6)/(5)`

=
`(32+3)/(4)* (6)/(5)`

=
`(35)/(4)* (6)/(5)`

Cancel out the common factors, we get

Acres harvest in 1 hour =
`(7)/(2)* (3)/(1)`

=
`(21)/(2)`

=
`10(1)/(2)`

Therefore, she can harvest
`10(1)/(2)` acres of corn per hour.