Question

1. a robot can complete 8 tasks in $\frac{5}{6}$ hour. each task takes the same amount of time. a. how long does it take the robot to complete one task? b. how many tasks can the robot complete in one hour?

Explanation:

Step1: Find time per task

Divide total time by number of tasks. Given total time is $\frac{5}{6}$ hour and number of tasks is 8. So 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

Find the reciprocal of time per task. Since time per task is $\frac{5}{48}$ hour, tasks per hour is $1\div\frac{5}{48}=1\times\frac{48}{5}=\frac{48}{5} = 9.6$ tasks.

Answer:

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