Answer
$50$ miles.
Work Step by Step
Distance traveled =(average speed)(time of travel).
Morning distance = $50x$.
Afternoon distance = $40(x+\displaystyle \frac{1}{4})$.
The equation we solve is obtained from:
(Morning distance) = (Afternoon distance)
$50x=40(x+\displaystyle \frac{1}{4})$
$50x=40x+10$
$10x=10$
$x=1$ (hour)
So, the distance covered (in the morning) = $50x=50(1)=50$ miles.
