document.write( "Question 1098169: Hello, can you help me solve this problem? Please?\r
\n" ); document.write( "\n" ); document.write( "Allan and Andrew can paint a room in 3hrs. It takes Allan 7 hrs to do this alone. Without Allan, how long will it take Andrew to paint the same room?\r
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Algebra.Com's Answer #712577 by ikleyn(52787)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Their combined rate of work is \"1%2F3\" of the job per hour.\r\n" );
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document.write( "Allan's individual rate of work is \"1%2F7\" of the job per hour.\r\n" );
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document.write( "Hence, Andrew's individual rate of work is the difference \"1%2F3\" - \"1%2F7\" of the job per hour.\r\n" );
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document.write( "\"1%2F3\" - \"1%2F7\" = \"7%2F21\" - \"3%2F21\" = \"4%2F21\".\r\n" );
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document.write( "Thus Andrew's individual rate of work is  \"4%2F21\" of the job per hour.\r\n" );
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document.write( "Hence, it will take  \"21%2F4\" hours = 5 hours and 15 minutes for Andrew to complete the entire job working alone.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "It is a 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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