SOLUTION: Jamie recently drove to visit her parents who live 420 miles away. On her way there her average speed was 24 miles per hour faster than on her way home (she ran into some bad wea

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Question 965445: Jamie recently drove to visit her parents who live
420 miles away. On her way there her average speed was
24 miles per hour faster than on her way home (she ran into some bad weather). If Jamie spent a total of
12 hours driving, find the two rates.
Found 2 solutions by t0hierry, MathTherapy:
Answer by t0hierry(194)   (Show Source): You can put this solution on YOUR website!
speed2 = spead1 + 24
She drives 420 miles both way that is 840 miles
Time = distance over speed
12 = 420/s + 420/(s+24)
(12 - 420/s) = 420/(s+24)
(12s - 420)(s+24) = 420s
12s + 420*24 + 12 s^2 = 0
s^2 + 840 + s = 0
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Jamie recently drove to visit her parents who live
420 miles away. On her way there her average speed was
24 miles per hour faster than on her way home (she ran into some bad weather). If Jamie spent a total of
12 hours driving, find the two rates. 
Outbound speed:  mph

Inbound speed:   mph 

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