document.write( "Question 1099897: Working together, it takes two computers 10 minutes to send out a company's email. If it takes the slower computer 30 minutes to do the job on its own, how long will it take the faster computer to do the job on its own? \n" ); document.write( "
Algebra.Com's Answer #714392 by ikleyn(52786)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "There is entire bunch of lessons in this site on joint work problems:\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( "    - Using quadratic equations to solve word problems on joint work \r
\n" ); document.write( "\n" ); document.write( "    - Solving rate of work problem by reducing to a system of linear equations \r
\n" ); document.write( "\n" ); document.write( "    - Selected joint-work word problems from the archive \r
\n" ); document.write( "\n" ); document.write( "    - Joint-work problems for 3 participants\r
\n" ); document.write( "\n" ); document.write( "    - Had there were more workers, the job would be completed sooner\r
\n" ); document.write( "\n" ); document.write( "    - One unusual joint work problem\r
\n" ); document.write( "\n" ); document.write( "    - Special joint work problems that admit and require an alternative solution method\r
\n" ); document.write( "\n" ); document.write( "    - Joint work word problem for the day of April, 1\r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on rate-of-work problems \r
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\n" ); document.write( "\n" ); document.write( "Read them and get be trained (and get be an expert) 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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\n" ); document.write( "Regarding the given problem in the post, the solution is THIS:\r
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document.write( "The rate of work of two computers working together is  \"1%2F10\" of the job per minute.\r\n" );
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document.write( "The rate of work of the slower computer is \"1%2F30\" of the job per hour.\r\n" );
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document.write( "Hence, the rate of work of the faster computer is the difference  \"1%2F10\" - \"1%2F30\" = \"3%2F30+-+1%2F30\" = \"2%2F30\" = \"1%2F15\" of the job per hour.\r\n" );
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document.write( "It means that the faster computer can complete the job in 15 minutes working alone.\r\n" );
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document.write( "     When solving problems like this one, you should know and should remember two basic facts:\r\n" );
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document.write( "         - the rate of work of two workers/machines/tubes  is the sum of the rates of individuals;\r\n" );
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document.write( "         - If you are given the combined rate of work of two workers/machines/tubes and the rate of work of one individual, \r\n" );
document.write( "           then the rate of work of the other individual is the difference of rates.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Completely self-evident facts.\r
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