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.

Answer 1

To find out how many miles Janice walked, we can follow these steps:

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

2. **Calculate the total time in hours she walked**:
Janice walked for \( \frac{7}{8} \) hour.

3. **Calculate the distance she walked**:
We use the formula:
\[
\text{Distance} = \text{Speed} \times \text{Time}.
\]

Plugging in the values:
\[
\text{Distance} = 4 \text{ miles per hour} \times \frac{7}{8} \text{ hour}.
\]

4. **Multiply the speed by the time**:
\[
\text{Distance} = 4 \times \frac{7}{8} = \frac{4 \times 7}{8} = \frac{28}{8}.
\]

5. **Simplify the fraction**:
\[
\frac{28}{8} = \frac{7}{2} = 3 \frac{1}{2}.
\]

Thus, Janice walked a total of \( 3 \frac{1}{2} \) miles.

The final answer is:
\[
\boxed{3 \frac{1}{2}}.
\]