Answer:
The answer is [tex]10\frac{1}{2}\ per\ hour.[/tex]
Step-by-step explanation:
Given:
Darcy harvest 8 3/4 acres of corn every 5/6 of an hour.
Now, to find the acres per hour it takes to harvest.
Darcy harvest = [tex]8\frac{3}{4}=\frac{35}{4}\ acres.[/tex]
The time he took to harvest = [tex]\frac{5}{6}\ hour.[/tex]
So, to get the acres per hour we put formula:
[tex]Distance = \frac{35}{4}\ acres.[/tex]
[tex]Time=\frac{5}{6}\ hour.[/tex]
[tex]Speed=\frac{distance}{time}[/tex]
[tex]Speed=\frac{\frac{35}{4}}{\frac{5}{6}}[/tex]
[tex]Speed=\frac{35}{4}\times \frac{6}{5}[/tex]
[tex]Speed=\frac{210}{20}[/tex]
[tex]Speed=\frac{21}{2}[/tex]
[tex]Speed=10\frac{1}{2}\ per\ hour.[/tex]
Therefore, the answer is [tex]10\frac{1}{2}\ per\ hour.[/tex]
