SOLUTION: Together Mary and Sara can mow a golf course in 15 hours. Alone it takes Mary 2 hours less than Sara. Find the time it takes each of them to mow the course alone. PLEASE HELP!!!! t

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Question 143252: Together Mary and Sara can mow a golf course in 15 hours. Alone it takes Mary 2 hours less than Sara. Find the time it takes each of them to mow the course alone. PLEASE HELP!!!! the answer is m=29 and s=31, but I don't know how to get there. HELP APPRECIATED!!!!
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
I BELIEVE YOUR ANSWERS ARE ROUNDED NUMBERS & DON'T WORK OUT IN THE PROOF:
29*31/(29=31=15
899/60=15
14.98=/15
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X(X+2)/(X+X+2)=15
(X^2+2X)/(2X+2)=15
X^2+2X=15(2X+2)
X^2+2X=30X+30
X^2+2X-30X-30=0
X^2-28X-30=0
USING THE QUADRATIC EQUATION x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+WE GET:
X=(28+-SQRT[28^2-4*1*-30])/2*1
X=(28+-SQRT[784+120])/2
X=(28+-SQRT904)/2
X=(28+-30.0666)/2
X=(28+30.0666)/2
X=58.0666/2
X=29.0333 FOR ONE MARY'S 'MOW ALONE' TIME.
29.0333+2=31.0333 FOR SDARA'S MOW ALONE TIME.
PROOF:
29.0333*31.0333/(29.0333+31.0333)=15
900.999/60.0666=15
15.0000001~15