document.write( "Question 1168983: Cynthia, Chris, and Lexi paint houses. Cynthia can paint a house in 4 hours. Chris can paint the same house in 3 hours. The three working together can paint the house in 1 hour. How many hours does it take Lexi to paint the house? \n" ); document.write( "
Algebra.Com's Answer #793635 by ikleyn(52876)\"\" \"About 
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document.write( "The combined rate of work for three participants is 1 job per hour.\r\n" );
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document.write( "The combined rate of work for Cyntia and Chris is  \"1%2F4%2B1%2F3\" = \"7%2F12\"  of the job per hour.\r\n" );
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document.write( "Hence, the Lexi's individual rate of work is the difference  \"1-7%2F12\" = \"5%2F12\"  of the job per hour.\r\n" );
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document.write( "It means that Lexi will complete the job in  \"12%2F5\" hours = 2 \"2%2F5\" hours = 2 hours and 24 minutes.    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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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic
\n" ); document.write( "\"Rate of work and joint work problems\"  of the section  \"Word problems\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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