1. **State the problem:** A robot completes 5 tasks in $\frac{2}{3}$ hour. We need to find: a. How long it takes to complete one task. b. How many tasks it can complete in one hour. 2. **Formula and rules:** - Time per task = Total time / Number of tasks. - Number of tasks in one hour = 1 hour / Time per task. 3. **Calculate time per task:** $$\text{Time per task} = \frac{2/3}{5} = \frac{2}{3} \times \frac{1}{5} = \frac{2}{15}$$ hours. This means each task takes $\frac{2}{15}$ hour. 4. **Calculate tasks per hour:** $$\text{Tasks per hour} = \frac{1}{2/15} = 1 \times \frac{15}{2} = \frac{15}{2} = 7.5$$ tasks. So, the robot can complete 7.5 tasks in one hour. **Final answers:** a. It takes the robot $\frac{2}{15}$ hour to complete one task. b. The robot can complete 7.5 tasks in one hour.