Let's break down the problem from the image:

Given:

• The robot completes 8 tasks in $\frac{3}{10}$ hour.
• Each task takes the same amount of time.

Part a:

We need to find how long it takes for the robot to complete one task.

The robot completes 8 tasks in $\frac{3}{10}$ hour, so to find the time for one task, divide the time for 8 tasks by 8.

$\text{Time for one task} = \frac{\frac{3}{10}}{8} = \frac{3}{10} \times \frac{1}{8} = \frac{3}{80} \text{ hours}.$

Thus, it takes the robot $\frac{3}{80}$ hours to complete one task.

Part b:

Next, we need to determine how many tasks the robot can complete in 1 hour.

Since the robot completes 1 task in $\frac{3}{80}$ hours, we divide 1 hour by the time for one task to find how many tasks can be done in 1 hour:

$\text{Tasks in 1 hour} = \frac{1}{\frac{3}{80}} = \frac{80}{3} = 26 \frac{2}{3} \text{ tasks}.$

So, the robot can complete about 26.67 tasks in one hour.

Let me know if you'd like further explanation or clarifications!

Here are 5 related questions you could explore:

1. If the robot took $\frac{1}{2}$ hour to complete 4 tasks, how long would it take to complete 1 task?
2. If the robot needs to complete 100 tasks, how long will that take?
3. How would the number of tasks change if the robot’s speed doubled?
4. What is the relationship between the number of tasks and time if the robot's rate is constant?
5. If another robot completes 10 tasks in 1 hour, which robot is faster?

Tip: Always remember to simplify fractions before multiplying or dividing for more accurate results!