She harvests 10.5 acres per hour.
Given that
Darcy harvests 8 3/4 acres of corn every 5/6 of an hour.
Darcy harvests corn at a constant rate.
We have to determine
How many acres does she harvest per hour?
According to the question
Darcy harvests 8 3/4 acres of corn every 5/6 of an hour.
Darcy harvests corn at a constant rate.
Then,
She harvests per hour is,
[tex]\rm = \dfrac{Total \ area}{Time }\\\\= \dfrac{8\dfrac{3}{4}}{\dfrac{5}{6}}\\\\\\= \dfrac{\dfrac{8\times 4+3}{4}}{\dfrac{5}{6}}\\\\= \dfrac{\dfrac{32+3}{4}}{\dfrac{5}{6}}\\\\\\= \dfrac{\dfrac{35}{4}}{\dfrac{5}{6}}\\\\\\= \dfrac{35}{4} \times \dfrac{6}{5}\\\\ = \dfrac{210}{20}\\\\= 10.5[/tex]
Hence, she harvests 10.5 acres per hour.
To know more about Area click the link given below.
https://brainly.com/question/11465228
