document.write( "Question 112133: Mercy can prepare a manuscript in 6 hours. Eunice can prepare it in 4 hours. How Long would it take them to preapre the manuscript together? \n" ); document.write( "

Algebra.Com's Answer #81815 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let x=time it takes Mercy and Eunice working together to prepare a manuscript
\n" ); document.write( "Mercy prepares manuscripts at the rate of 1/6 manuscript per hour
\n" ); document.write( "Eunice prepares manuscripts at the rate of 1/4 manuscript per hour\r
\n" ); document.write( "\n" ); document.write( "Together, they prepare manuscripts at the rate of (1/6)+(1/4)=4/24+(6/24) or
\n" ); document.write( "10/24=5/12 manuscripts per hour. \r
\n" ); document.write( "\n" ); document.write( "So the question boils down to the following:\r
\n" ); document.write( "\n" ); document.write( "If Mercy and Eunice can prepare 5/12 of a manuscript per hour, how long will it take them working together to prepare 1 manuscript? So our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "(5/12)x=1 multiply each term by 12\r
\n" ); document.write( "\n" ); document.write( "5x=12 divide both sides by 5
\n" ); document.write( "x=2.4 hours------------time it takes Mercy and Eunice working together to prepare a manuscript\r
\n" ); document.write( "\n" ); document.write( "CK\r
\n" ); document.write( "\n" ); document.write( "(5/12)*2.4=1
\n" ); document.write( "12/12=1
\n" ); document.write( "1=1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "

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