# Abdul runs 7 miles in 80 minutes. At the same rate, how many miles would he run in 64 minutes?

Jul 25, 2016

He would run 5.6 miles.

#### Explanation:

You should set up a proportion to compare miles to minutes based on the given ratio and the ratio that you want to find:

$\left(7 \text{miles")/(80 "minutes") = (x "miles")/(64 "minutes}\right)$

The left side shows the proportion of miles to minutes that you've given me, and the right side shows the number of miles that we want to find over the new time given in minutes.

You can solve this one of two way: cross multiplication or division then multiplication.

$\textcolor{p u r p \le}{\text{First method: Cross multiplication}}$

Multiply 7 and 64 together:

$7 \text{miles" xx 64"minutes}$ = $448$

Multiply $80 \mathmr{and} x$ together:

$80 \times x$ = $80 x$

Set $80 x \mathmr{and} 448$ equal to each other and solve for$x :$

$\frac{\cancel{80} x}{\cancel{80}} = \frac{448}{80}$

$x = 5.6 \text{miles}$

$\textcolor{\mathmr{and} a n \ge}{\text{Second Method:}}$

Divide the numerator by the denominator:

$\left(7 \text{miles")/(80 "minutes}\right)$ = $0.0875$

Multiply that value by the number of minutes that were given to you to obtain the number of miles that were ran:

$0.0875 \times 64 \text{minutes}$ = 5.6 miles