Answer
s = 56
Work Step by Step
Let s be equal to the average speed of the car on the trip to home. Formulate and write the equation using the given description. (Time equals distance divided by speed). Use hours, not minutes.
56/(s-8) = 56/s + 1/6
56s = 56(s-8)+s(s-8)/6
$s^2/6-4s/3-448=0$
$s^2-8s+2688=0$
(s-56)(s+48)=0
Speed cannot be negative, so $s=56$.
