document.write( "Question 974182: June can complete a quilt in 16 days Molly can complete the same quilt in 12 days and Maria can complete the same quilt in 14 days. If the three work together how long will it take them to complete the quilt? \n" ); document.write( "
Algebra.Com's Answer #596168 by josmiceli(19441)\"\" \"About 
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June's rate of working:
\n" ); document.write( "[ 1 quilt ] / [ 16 days ]
\n" ); document.write( "Molly's rate:
\n" ); document.write( "[ 1 quilt ] / [ 12 days ]
\n" ); document.write( "Maria's rate:
\n" ); document.write( "[ 1 quilt ] / [ 14 days ]
\n" ); document.write( "-----------------------
\n" ); document.write( "Let \"+t+\" = time in days for them
\n" ); document.write( "to complete the quilt working
\n" ); document.write( "together
\n" ); document.write( "-----------
\n" ); document.write( "Add their rates of working to get rate
\n" ); document.write( "working together
\n" ); document.write( "----------------
\n" ); document.write( "\"+1%2F16+%2B+1%2F12+%2B+1%2F14+=+1%2Ft+\"
\n" ); document.write( "Multiply both siodes by \"+2+\"
\n" ); document.write( "\"+1%2F8+%2B+1%2F6+%2B+1%2F7+=+2%2Ft+\"
\n" ); document.write( "Multiply both sides by \"+168t+\"
\n" ); document.write( "\"+21t+%2B+28t+%2B+24t+=+336+\"
\n" ); document.write( "\"+73t+=+336+\"
\n" ); document.write( "\"+t+=+4.6027+\" days
\n" ); document.write( "---------------------
\n" ); document.write( "Strange number for answer -check my math\r
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