Skyler flies a plane against a headwind for 3339 miles. The return trip with the wind took 10 hours less time. If the wind speed is 5 mph, how fast does Skyler fly the plane when there is no wind?

Question

irishboy123 · Answer

against headwind
$\Large  t_a = {3339 \over v- \hat v}$ where $\hat v =$ speed of headwind and $v$ is his speed relative to airflow 
with headwind
$\Large  t_w = {3339 \over v+\hat v}$
$\Large  t_a - t_w = 10 \;hrs$

$\large \hat v = 5$

solve for $\large  v$