# Olive walks at a rate of 4 miles per hour. She lives 2 miles from the news station. How long will it take her to walk home from the news station?

Nov 30, 2016

It will take Olive a $\frac{1}{2}$ hour or 30 minutes

#### Explanation:

A formula we can us is:

$t = \frac{d}{r}$ where $t$ is the time to travel, $r$ is the rate of travel and $d$ is the distance traveled.

In this problem we are told the rate of travel is 4 miles per hour and the distance is 2 miles.

So substituting gives:

$t = \frac{2 m i l e s}{\frac{4 \left(m i l e s\right)}{h o u r}}$

$t = \frac{2 \cancel{m i l e s}}{\frac{4 \left(\cancel{m i l e s}\right)}{h o u r}}$

$t = \frac{2}{\frac{4}{h o u r}}$

$t = \frac{2 \cdot h o u r s}{4}$

$t = \frac{1}{2} h o u r$ or 30 minutes