Question

anusha is walking on a hiking trail at a rate of \\(\frac{3}{4}\\) miles in \\(\frac{1}{4}\\) hour. at this rate, how far will anusha walk in an hour? \\(\square\\) miles

Explanation:

Step1: Identify the rate formula

The formula for rate (speed) is \( \text{speed} = \frac{\text{distance}}{\text{time}} \). We know the distance and time for a part of the journey, and we need to find the distance for 1 hour (which is the speed, since speed is distance per unit time).

Step2: Set up the calculation

We know that in \( \frac{1}{4} \) hour, Anusha walks \( \frac{3}{4} \) miles. To find out how far she walks in 1 hour, we can set up a proportion or multiply the distance by the reciprocal of the time fraction. The reciprocal of \( \frac{1}{4} \) is 4. So we calculate \( \frac{3}{4} \times 4 \).

Step3: Perform the multiplication

\( \frac{3}{4} \times 4 = 3 \) (because the 4 in the numerator and the 4 in the denominator cancel out, leaving 3).

Answer:

3