13. a robot can complete 8 tasks in $\frac{5}{6}$ hour. each task takes the same amount of time.\na. how…

Explanation:

Step1: Find time per task

Divide total time by number of tasks. The total time is $\frac{5}{6}$ hour and number of tasks is 8. So the time for one task is $\frac{5}{6}\div8=\frac{5}{6}\times\frac{1}{8}=\frac{5}{48}$ hour.

Step2: Find tasks per hour

Let the number of tasks in 1 hour be $x$. We know that $\frac{5}{6}$ hour is for 8 tasks, so we set up a proportion $\frac{8}{\frac{5}{6}}=\frac{x}{1}$. Cross - multiply gives $x = 8\div\frac{5}{6}=8\times\frac{6}{5}=\frac{48}{5} = 9.6$ tasks.

Answer:

a. $\frac{5}{48}$ hour b. 9.6 tasks