document.write( "Question 1088683: A postal worker can sort a day's worth of mail in 8 hours. With her supervisor helping, it takes 3 hours. How long would it take the supervisor working alone? \n" ); document.write( "
Algebra.Com's Answer #702989 by ikleyn(52803)\"\" \"About 
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\n" ); document.write( "A postal worker can sort a day's worth of mail in 8 hours. With her supervisor helping, it takes 3 hours.
\n" ); document.write( "How long would it take the supervisor working alone?
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document.write( "Since the worker and the supervisor can complete the work i n 3 hours, their combined rate of work is \"1%2F3\" of the work per hour.\r\n" );
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document.write( "The worker's individual rate of work is \"1%2F8\" of the work per hour.\r\n" );
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document.write( "Hence, the supervisor's rate of work is the difference \"1%2F3+-+1%2F8\" = \"8%2F24+-+3%2F24\" = \"5%2F24\" of the work per hour.\r\n" );
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document.write( "It means that the supervisor can complete the work in \"1%2F%28%285%2F24%29%29\" hours, which is equal to \"24%2F5\" = \"4\"\"4%2F5\" hours = 4 hours and 48 minutes.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer. the supervisor can complete the work in 4 hours and 48 minutes, if he will work alone.\r
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\n" ); document.write( "\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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