Question 153441
Suppose Madison drove for t hours, then Logan drove for 7 - t hours.
Madison drove for 63t miles.
Logan drove for 58(7-t) miles
The total was 63t + 58(7-t).
As the total distance traveled is 428.5 miles, we have:
63t + 58(7-t)=428.5
Solving for t, we have:
63t + 406 - 58t = 428.5
5t = 22.5
t = 22.5/5
t = 4.5
So Madison drove for 4.5 hours.