document.write( "Question 1089802: A Cashier working alone serves 20 clients in 1 hour. A second Cashier serves the same number of clients in 40 minutes. What time will they need serving the 20 clients if they work both? \n" ); document.write( "

Algebra.Com's Answer #704183 by ikleyn(52816) $\"\"$ $\"About$

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\n" ); document.write( "A Cashier working alone serves 20 clients in 1 hour. A second Cashier serves the same number of clients in 40 minutes.
\n" ); document.write( "What time will they need serving the 20 clients if they work both?
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document.write( "In this problem, let us call this work, serving 20 clients, as \"one job\".\r\n" );
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document.write( "Then the first cashier makes  of the job per minute. It is his rate of work.\r\n" );
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document.write( "The second cashier makes  of the job per minute. It is his rate of work.\r\n" );
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document.write( "When they work together, their combined rate of work is the sum of individual rates, i.e.  =  =  = .\r\n" );
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document.write( "Thus we get that the two cashiers, working together, make  of the job per minute.\r\n" );
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document.write( "Now it is clear to you that it will take 24 minutes for both to serve 20 clients.\r\n" );
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document.write( "The problem is solved.\r\n" );
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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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\n" ); document.write( "\n" ); document.write( "Do not forget to send your \"thanks\" to me after reading this solution.
\n" ); document.write( "(I mean: after you get understanding of the solution).\r
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