document.write( "Question 139347: Rita rows 12km upstream and 12 km downstream in 3 hours. The speed of her boat in still water is 9km/hour. Find the speed of the stream. \n" ); document.write( "
Algebra.Com's Answer #101605 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 12/(9-X)+12/(9+X)=3 \n" ); document.write( "(12[9+X]+12[9-X])/(9-X)(9+X)=3 \n" ); document.write( "(108+12X+108-9X)/(81-X^2)=3 NOW CROSS MULTIPLY. \n" ); document.write( "3(81-X^2)=108+12X+108-9X \n" ); document.write( "243-3X^2=216+3X \n" ); document.write( "-3X^2-3X+243-216=0 \n" ); document.write( "-3X^2-3X+27=0 \n" ); document.write( "-3(X^2+X-9)=0 \n" ); document.write( "USING THE QUADRATIC EQUATION WE GET: \n" ); document.write( "X=(-1+-SQRT[1^1-4*1*-9])/2*1 \n" ); document.write( "X=(-1+-SQRT[1+36)/2 \n" ); document.write( "X=(-1+-SQRT37)/2 \n" ); document.write( "X=(-1+-6.083)/2 \n" ); document.write( "X=(-1+6.083)/2 \n" ); document.write( "X=5.083/2 \n" ); document.write( "X=2.54 ANSWER FOR THE SPEED OF THE CURRENT. \n" ); document.write( "PROOF: \n" ); document.write( "12/(9-2.54)+12/(9+2.54)=3 \n" ); document.write( "12/6.45+12/11.54=3 \n" ); document.write( "1.86+1.04=3 \n" ); document.write( "2.9~3 \n" ); document.write( " \n" ); document.write( " |