document.write( "Question 885981: Mary and Carol are doing a month project. Carol can do work twice as fast as Mary. If they work together they can finish the project in 4 hours. How long does it take to do the same project? \n" ); document.write( "
Algebra.Com's Answer #535600 by josmiceli(19441)\"\" \"About 
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Let Mary's rate of working = \"+R%5Bm%5D+\"
\n" ); document.write( "in units of ( 1 project ) / ( time to do that project )
\n" ); document.write( "Carol's rate = \"+2R%5Bm%5D+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "Add their rates of working to get their rate
\n" ); document.write( "working together
\n" ); document.write( "\"+R%5Bm%5D+%2B+2R%5Bm%5D+=+1%2F4+\"
\n" ); document.write( "( the \"+1%2F4+\" is ( 1 project / 4 hrs ) )
\n" ); document.write( "-----------------------------------
\n" ); document.write( "\"+3R%5Bm%5D+=+1%2F4+\"
\n" ); document.write( "\"+R%5Bm%5D+=+1%2F12+\"
\n" ); document.write( "and
\n" ); document.write( "\"+2R%5Bm%5D+=+2%2F12+\"
\n" ); document.write( "\"+2R%5Bm%5D+=+1%2F6+\"
\n" ); document.write( "-------------------
\n" ); document.write( "Mary can do the project in 12 hrs
\n" ); document.write( "Carol can do the project in 6 hrs
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+1%2F12+%2B+1%2F6+=+1%2F4+\"
\n" ); document.write( "\"+1%2F12+%2B+2%2F12+=+3%2F12+\"
\n" ); document.write( "\"+3%2F12+=+3%2F12+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );