Question

Waylon ran 3 3/4 miles in 25 minutes. What is the unit rate in miles per hour?

Answer 1

Answer:

Waylon ran at a speed of 9 miles per hour.

Explanation:

A hour equals to 60 minutes, then, the equivalent time is found:

$t = 25\,min \times \left(\frac{1}{60}\,\frac{h}{min} \right)$

$t = \frac{5}{12}\,h$

Let suppose that Waylon runs at constant speed, so that equation is equal to:

$v = \frac{s}{t}$

Where:

$v$ - Speed, measured in miles per hour.

$s$ - Travelled distance, measured in miles.

$t$ - Time, measured in hours.

If we know that $s = 3\,\frac{3}{4}\,mi = \frac{15}{4}\,mi$ and $t = \frac{5}{12}\,h$, then:

$v = \frac{\frac{15}{4}\,mi }{\frac{5}{12}\,h }$

$v = 9\,\frac{mi}{h}$

Waylon ran at a speed of 9 miles per hour.