# Jeremy traveled 345 miles to visit his cousin in north carolina. if he traveled at a rate of 60 miles per hour, how long did the trip take?

May 13, 2018

$5.75$ hours, or $5$ hours and $45$ minutes.

#### Explanation:

Set up a proportion. They are asking "miles per hour" or:

$\text{miles"/"hours}$

So Jeremy is traveling $60$ miles in $1$ hour, and his flight is $345$ miles in $x$ hours:

$\frac{60}{1} = \frac{345}{x}$

These two things are equal to each other, because they are proportional.

To solve for $x$, first cross multiply. The ones being multiplied together are colored the same:

$\frac{\textcolor{b l u e}{60}}{\textcolor{g r e e n}{1}} = \frac{\textcolor{g r e e n}{345}}{\textcolor{b l u e}{x}}$

$60 \left(x\right) = 1 \left(345\right)$

$60 x = 345$

$x = 5.75$

So Jeremy's flight lasted $5.75$ hours. This is the same as $5$ hours and $45$ minutes.