Given that, Darcy harvests [tex]8\frac{3}{4}[/tex] acres of corn every [tex]\frac{5}{6}[/tex] of an hour.
Total area harvests = [tex]8\frac{3}{4}[/tex].
Total time taken = [tex]\frac{5}{6}[/tex] of an hour.
We need to find the rate of harvesting per hour in acres per hour.
In order to find the rate, we need to divide Total area divide by total time take.
Therefore,
Rate = [tex]8\frac{3}{4}[/tex] ÷ [tex]\frac{5}{6}[/tex].
= [tex]\frac{35}{4}[/tex] ÷ [tex]\frac{5}{6}[/tex].
= [tex]\frac{35}{4} \times \frac{6}{5}[/tex]
= [tex]\frac{7 \times3}{2} =\frac{21}{2}[/tex]
= [tex]10\frac{1}{2}[/tex] acres per hour.