Let's solve the problem shown in the image.

Problem:

A robot can complete 8 tasks in $\frac{3}{10}$ hour. Each task takes the same amount of time.

Part a:

How long does it take the robot to complete one task?

We know the robot completes 8 tasks in $\frac{3}{10}$ hour. To find how long it takes to complete one task, we need to divide the total time by the number of tasks: $\text{Time per task} = \frac{\frac{3}{10} \text{ hour}}{8} = \frac{3}{10} \times \frac{1}{8} = \frac{3}{80} \text{ hours}$ So, the robot takes $\frac{3}{80}$ hours to complete one task.

Part b:

How many tasks can the robot complete in one hour?

To find how many tasks the robot can complete in 1 hour, we divide 1 hour by the time it takes to complete one task: $\text{Tasks per hour} = \frac{1 \text{ hour}}{\frac{3}{80} \text{ hours per task}} = 1 \times \frac{80}{3} = \frac{80}{3} \approx 26.67 \text{ tasks}$ So, the robot can complete approximately 26.67 tasks in one hour.

Do you need any further explanation or details?

Here are 5 related questions for more practice:

1. If the robot can complete 10 tasks in $\frac{5}{8}$ hours, how long does one task take?
2. How many tasks can the robot complete in 2 hours if it works at the same rate?
3. What is the time taken by the robot to complete 15 tasks if it takes $\frac{1}{4}$ hour per task?
4. If another robot completes 5 tasks in $\frac{1}{2}$ hour, which robot is faster?
5. How many hours will it take the robot to complete 40 tasks at this rate?

Tip: To solve "per unit" problems like this, remember to divide the total quantity (time or tasks) by the known units.