https://file.aiquickdraw.com/mathbot/file/1728665643228zvjazfo3.jpg

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.

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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.

A robot can complete 8 tasks in 3/10 hour. Each task takes the same amount of time. How long does it take the robot to complete one task? How many tasks can the robot complete in one hour?

Learn how to calculate the time it takes for a robot to complete one task given that it can complete 8 tasks in 3/10 hour. Also, find out how many tasks the robot can complete in one hour using unit rate and division. Suitable for middle school math students in Grades 6-8.

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