document.write( "Question 1107566: Please help me solve this so I can show my daughter.\r
\n" ); document.write( "\n" ); document.write( " It takes Sandra 15 hours to complete a job. Garland can complete the job in 12 hours. How long will it take them to do the job working together?\r
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Algebra.Com's Answer #722585 by ikleyn(52790)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Since \"It takes Sandra 15 hours to complete a job\", she makes \"1%2F15\" of the job per hour.\r\n" );
document.write( "    It is her \"rate of work\".\r\n" );
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document.write( "Since \"Garland can complete the job in 12 hours\", he makes \"1%2F12\" of the job per hour.\r\n" );
document.write( "    It is his \"rate of work\".\r\n" );
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document.write( "Working together, they make \"1%2F15\" + \"1%2F12\" part of the job per hour.\r\n" );
document.write( "    It is their combined rate of work.\r\n" );
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document.write( "    \"1%2F12\" + \"1%2F15\" = \"5%2F60+%2B+4%2F60\" = \"9%2F60\" = \"3%2F20\".\r\n" );
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document.write( "Thus they make  \"3%2F20\"  of the work per hour.  Every hour.\r\n" );
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document.write( "Hence, it will take them   \"20%2F3\" hours = \"6\"\"2%2F3\" hours = 6 hours and 40 minutes to complete the job working together.\r\n" );
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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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