document.write( "Question 1206762: A and B together can complete a work in 12 days.
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Algebra.Com's Answer #844385 by ikleyn(52776)\"\" \"About 
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\n" ); document.write( "A and B together can complete a work in 12 days.
\n" ); document.write( "C alone can complete the same work in 20 days. B alone can complete the same work in 18 days.
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document.write( "A and B combined rate of work is  \"1%2F12\"  of the job per day.\r\n" );
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document.write( "B's individual rate of work is  \"1%2F18\"  of the job per day.\r\n" );
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document.write( "Hence, A's individual rate of work is the difference  \r\n" );
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document.write( "    \"1%2F12\" - \"1%2F18\" = \"3%2F36\" - \"2%2F36\" = \"1%2F36\".\r\n" );
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document.write( "In other words,  A can do  \"1%2F36\"  of the job per day, working alone.\r\n" );
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document.write( "Hence, A and C combined rate of work is\r\n" );
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document.write( "    \"1%2F36\" + \"1%2F20\" = \"5%2F180\" + \"9%2F180\" = \"14%2F180\"  of the job per day.\r\n" );
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document.write( "Hence, A and C will complete the job in  \"180%2F14\" = \"90%2F7\" days = 12\"6%2F7\"  days.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a standard and typical joint work problem.\r
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\n" ); document.write( "\n" ); document.write( "There is a wide variety of similar solved joint-work problems with detailed explanations in this site.  See the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Using Fractions to solve word problems on joint work \r
\n" ); document.write( "\n" ); document.write( "    - Solving more complicated word problems on joint work \r
\n" ); document.write( "\n" ); document.write( "    - Selected joint-work word problems from the archive \r
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\n" ); document.write( "\n" ); document.write( "Read them and get be trained in solving joint-work problems.\r
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