document.write( "Question 1196717: If Craig can paint a house in 18 hours and when working with John can complete the job in 10 hours. How long should it take John to complete the job working alone? \n" ); document.write( "
Algebra.Com's Answer #829679 by ikleyn(52863)\"\" \"About 
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\n" ); document.write( "If Craig can paint a house in 18 hours and when working with John
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document.write( "The combined rate of work of two workers is  \"1%2F10\"  of the job per hour.\r\n" );
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document.write( "The rate of work of one of them (Craig) is  \"1%2F18\"  of the job per hour.\r\n" );
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document.write( "HENCE, the rate of work of the other worker (of John) is the difference\r\n" );
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document.write( "    \"1%2F10\" - \"1%2F18\" = \"9%2F90\" - \"5%2F90\" = \"4%2F90\" = \"2%2F45\".\r\n" );
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document.write( "It means that John will complete the job in  \"45%2F2\" = 22.5 hours, working alone.     ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "On the way, from my solution you learned about rate of work.\r
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\n" ); document.write( "\n" ); document.write( "You also learned, that when combined rate of work is given,
\n" ); document.write( "and the rate of work of one participant is known,
\n" ); document.write( "then the rate of work of the other participant is simply the difference of two rates.\r
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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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