SOLUTION: Logan & Madison went on a 7 hour trip. Together they drove a total of 428.5 miles. Logan averaged 58 mph and Madison averaged 63 mph. How long did Madison drive?

Question 153441: Logan & Madison went on a 7 hour trip. Together they drove a total of 428.5 miles. Logan averaged 58 mph and Madison averaged 63 mph. How long did Madison drive?
Answer by orca(409) (Show Source): You can put this solution on YOUR website!
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.

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