SOLUTION: Jamie drove to visit her parents who live 600 miles away on her waY THERe her average speed was 20 mph faster than on her way home. if jamie spent a total of 25 hours driving find

Question 432975: Jamie drove to visit her parents who live 600 miles away on her waY THERe her average speed was 20 mph faster than on her way home. if jamie spent a total of 25 hours driving find the two rates
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
Let Jamie's speed be x. Her speed on the way home was x+20. Thus:
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600/x+600/(x+20)=25
Multiply each side by (x)(x+20):
600(x+20)+600x=25(x2+20x)
1200x+12000=25x2+500x
0=25x2-700x-12000
0=x2-28x-480
0=(x+12)(x-40)
x=-12,40
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Throwing out the negative result, we get her speed going there to be 40mph, and 60mph to be her speed coming back.
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