Question

a runner completes \\(\frac{1}{2}\\) mile in \\(\frac{1}{2}\\) hour. how many miles does the runner complete in 1 hour?

Explanation:

Step1: Identify the rate formula

The rate (miles per hour) is calculated by distance divided by time, \( r=\frac{d}{t} \). Here, \( d = \frac{1}{2} \) mile and \( t=\frac{1}{2} \) hour.

Step2: Substitute values into the formula

Substitute \( d=\frac{1}{2} \) and \( t = \frac{1}{2} \) into \( r=\frac{d}{t} \), we get \( r=\frac{\frac{1}{2}}{\frac{1}{2}} \).

Step3: Simplify the division

Dividing a fraction by another fraction is multiplying by its reciprocal, so \( \frac{\frac{1}{2}}{\frac{1}{2}}=\frac{1}{2}\times\frac{2}{1} = 1 \).

Answer:

1