SOLUTION: Jessie recently drove to visit her parents who live 510 miles away. On her way there her average speed was 11 miles per hour faster than on her way home (she ran into some bad weat

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Question 1130964: Jessie recently drove to visit her parents who live 510 miles away. On her way there her average speed was 11 miles per hour faster than on her way home (she ran into some bad weather). If Jessie spent a total of 17 hours driving, find the two rates.
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
                SPEED        TIME         DISTANCE

GOING            r+11        510/(r+11)     510

RETURNING        r           510/r          510

TOTAL                        17

510%2F%28r%2B11%29%2B510%2Fr=17
.
.
r%5E2-49r-330=0
discriminant, 61%5E2;
r=%2849%2B61%29%2F2
highlight%28r=55%29------the speed returning