Question

Janice walks a total of 7/8
hour. She walks at a rate of 1 mile every 1/4
hour. How many miles did she walk?

Your answer should be written as a mixed number.

(1 point)

Answer 1

To find out how many miles Janice walked, we can first determine her walking speed and then multiply it by the total time she walked.

1. **Determine the total number of hours she walked:**
Janice walked for \( \frac{7}{8} \) hour.

2. **Determine her walking rate:**
Janice walks at a speed of 1 mile every \( \frac{1}{4} \) hour. To find her speed in miles per hour, we can calculate:
\[
\text{Speed} = \frac{1 \text{ mile}}{\frac{1}{4} \text{ hour}} = 1 \times 4 = 4 \text{ miles per hour}
\]

3. **Calculate the total distance walked:**
Using the formula:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]
We can plug in her speed and the time:
\[
\text{Distance} = 4 \text{ miles per hour} \times \frac{7}{8} \text{ hour} = \frac{4 \times 7}{8} = \frac{28}{8} \text{ miles}
\]

4. **Simplify the fraction:**
\[
\frac{28}{8} = \frac{7}{2} \text{ miles}
\]

5. **Convert to a mixed number:**
\(\frac{7}{2} = 3 \frac{1}{2}\) miles.

So, Janice walked **3 \( \frac{1}{2} \)** miles.