Margo can peel and slice at least 10 dozen apples per hour and at most 15 dozen apples per hour. Based on this information,what is the possible amount of time, in hours, that it could take Margo to peel and slice 60 dozen apples?

Explanation

To solve the problem, we need to determine the possible amount of time, in hours, that Margo could take to peel and slice 60 dozen apples given her peeling rates.

1. **Identify the rates**: Margo can peel and slice at least 10 dozen apples per hour and at most 15 dozen apples per hour.

2. **Set up the variable**: Let \( h \) represent the time in hours that Margo takes to peel and slice 60 dozen apples.

3. **Calculate time at minimum speed**:
- If Margo works at her minimum speed of 10 dozen apples per hour, the time taken to peel 60 dozen apples can be calculated as:
\[ h \geq \frac{60 \text{ dozen}}{10 \text{ dozen/hour}} = 6 \text{ hours} \]
This means that if she works at her slowest speed, she will take at least 6 hours.

4. **Calculate time at maximum speed**:
- If Margo works at her maximum speed of 15 dozen apples per hour, the time taken to peel 60 dozen apples can be calculated as:
\[ h \leq \frac{60 \text{ dozen}}{15 \text{ dozen/hour}} = 4 \text{ hours} \]
This means that if she works at her fastest speed, she will take at most 4 hours.

5. **Combine the inequalities**:
- From the calculations, we have two inequalities:
- \( h \geq 4 \) (at maximum speed)
- \( h \leq 6 \) (at minimum speed)
- Combining these gives us:
\[ 4 \leq h \leq 6 \]

6. **Conclusion**: The possible amount of time \( h \) that Margo could take to peel and slice 60 dozen apples is between 4 and 6 hours, inclusive.

### Final Answer:
The possible amount of time that Margo could take is \( 4 \leq h \leq 6 \) hours.

---