Question

chris jogged $\frac{1}{3}$ of a mile to his friends house in $\frac{1}{12}$ of an hour. compute the unit rate of miles per hour. a 2 miles per hour b 3 miles per hour c 4 miles per hour d 6 miles per hour

Explanation:

Step1: Recall the formula for unit rate (speed)

The formula for speed \( s \) is \( s=\frac{\text{distance}(d)}{\text{time}(t)} \). Here, the distance \( d = \frac{1}{3} \) mile and the time \( t=\frac{1}{12} \) hour.

Step2: Substitute the values into the formula

Substitute \( d=\frac{1}{3} \) and \( t = \frac{1}{12} \) into \( s=\frac{d}{t} \). So we have \( s=\frac{\frac{1}{3}}{\frac{1}{12}} \).

Step3: Divide the fractions

Dividing by a fraction is the same as multiplying by its reciprocal. So \( \frac{\frac{1}{3}}{\frac{1}{12}}=\frac{1}{3}\times\frac{12}{1} \).

Step4: Simplify the multiplication

\( \frac{1\times12}{3\times1}=\frac{12}{3} = 4 \). So the unit rate is 4 miles per hour.

Answer:

C. 4 miles per hour