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: \[ \boxed{3 \frac{1}{2}}. \]