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Part 1
A robot can complete 3 tasks in five sixths
 hour. Each task takes the same amount of time.

To find out how long it takes the robot to complete each task, we can follow these steps:

### Step 1: Define the variables.
Let \( t \) be the time (in hours) it takes the robot to complete one task.

The robot completes 3 tasks in \( \frac{5}{6} \) of an hour.

### Step 2: Set up the equation.
If the robot completes 3 tasks in \( \frac{5}{6} \) hours, the time for one task is:

\[
t = \frac{\frac{5}{6}}{3}
\]

### Step 3: Solve for \( t \).
To divide by 3, multiply by the reciprocal:

\[
t = \frac{5}{6} \times \frac{1}{3} = \frac{5}{18} \, \text{hours}
\]

Thus, each task takes \( \frac{5}{18} \) hours, or approximately 16.67 minutes.

Would you like more details on this or have any questions?

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Here are 5 related questions:
1. How long would it take the robot to complete 10 tasks at this rate?
2. How many tasks can the robot complete in 1 hour?
3. If the robot works for 2 hours, how many tasks will it complete?
4. If the time per task decreases by half, how long would it take to complete 3 tasks?
5. What if the robot had to complete 6 tasks in the same amount of time?

**Tip**: When dividing fractions, remember to multiply by the reciprocal of the divisor.

A robot can complete 3 tasks in five sixths hour. Each task takes the same amount of time.

Find out how long it takes a robot to complete each task if it completes 3 tasks in 5/6 hour. This solution involves dividing fractions and multiplying by the reciprocal. Suitable for students in Grades 6-8.

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