document.write( "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!!!! \n" ); document.write( "
Algebra.Com's Answer #104246 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! I BELIEVE YOUR ANSWERS ARE ROUNDED NUMBERS & DON'T WORK OUT IN THE PROOF: \n" ); document.write( "29*31/(29=31=15 \n" ); document.write( "899/60=15 \n" ); document.write( "14.98=/15 \n" ); document.write( "------------------------------ \n" ); document.write( "X(X+2)/(X+X+2)=15 \n" ); document.write( "(X^2+2X)/(2X+2)=15 \n" ); document.write( "X^2+2X=15(2X+2) \n" ); document.write( "X^2+2X=30X+30 \n" ); document.write( "X^2+2X-30X-30=0 \n" ); document.write( "X^2-28X-30=0 \n" ); document.write( "USING THE QUADRATIC EQUATION \n" ); document.write( "X=(28+-SQRT[28^2-4*1*-30])/2*1 \n" ); document.write( "X=(28+-SQRT[784+120])/2 \n" ); document.write( "X=(28+-SQRT904)/2 \n" ); document.write( "X=(28+-30.0666)/2 \n" ); document.write( "X=(28+30.0666)/2 \n" ); document.write( "X=58.0666/2 \n" ); document.write( "X=29.0333 FOR ONE MARY'S 'MOW ALONE' TIME. \n" ); document.write( "29.0333+2=31.0333 FOR SDARA'S MOW ALONE TIME. \n" ); document.write( "PROOF: \n" ); document.write( "29.0333*31.0333/(29.0333+31.0333)=15 \n" ); document.write( "900.999/60.0666=15 \n" ); document.write( "15.0000001~15 \n" ); document.write( " |