# With a tail wind, a plane traveled 800 mi in 5 hours. With a head wind, the plane traveled the same distance in 8 hours. Which system of equations could be used to solve this problem?

$\left\{\begin{matrix}5 \left(p + a\right) = 800 \\ 8 \left(p - a\right) = 800\end{matrix}\right.$
$\textcolor{w h i t e}{\text{XXX}} p =$ plane's speed relative to the air around it
$\textcolor{w h i t e}{\text{XXX}} a =$ air speed of wind