To find out how many miles Janice walked, we first need to determine her walking rate in miles per hour.
Janice walks at a rate of 1 mile every \( \frac{1}{4} \) hour. This means she walks:
\[ \text{Rate} = \frac{1 \text{ mile}}{\frac{1}{4} \text{ hour}} = 1 \text{ mile} \times \frac{4}{1} = 4 \text{ miles per hour} \]
Now, Janice walks for a total of \( \frac{7}{8} \) hour. We can calculate the distance she walked using the formula:
\[ \text{Distance} = \text{Rate} \times \text{Time} \]
Substituting her rate and time into the formula:
\[ \text{Distance} = 4 \text{ miles per hour} \times \frac{7}{8} \text{ hour} \]
Calculating the distance:
\[ \text{Distance} = 4 \times \frac{7}{8} = \frac{28}{8} = 3.5 \text{ miles} \]
So, Janice walked 3.5 miles.