SOLUTION: marge drove to a business appointment at 50mph. her average speed on the return trip in the afternoon was 40mph. the return trip took 1/4 hour longer. how far did she travel?

Question 137120: marge drove to a business appointment at 50mph. her average speed on the return trip in the afternoon was 40mph. the return trip took 1/4 hour longer. how far did she travel?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
marge drove to a business appointment at 50 mph. her average speed on the return
trip in the afternoon was 40mph. the return trip took 1/4 hour longer. how far did she travel?
:
First find out how long it took. Then finding the distance is easy
:
The trip there and the trip back are equal; write a distance equation
Dist = speed * time
:
Let t = time to
then
(t+.25) = time back
;
50t = 40(t+.25)
50t = 40t + 10
50t - 40t = 10
10t = 10
t = 1 hr
:
The distance will be 50 mi, obviously
:
Confirm solution by find the distance back, it should be the same
40 * 1.25 = 50 mi also
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