document.write( "Question 1154132: Jerry can complete a sales route by himself in 8 hours. Working with an associate, he can complete a sales route in 5 hours. How long would it take his associate to do it working alone? \n" ); document.write( "

Algebra.Com's Answer #776502 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            This problem (and many other similar joint work problems) can be solved by different ways.\r
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\n" ); document.write( "\n" ); document.write( "            The other tutor showed you the solutions using equation.\r
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\n" ); document.write( "\n" ); document.write( "            But the problem can be solved without using equations, by manipulating fractions only.\r
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document.write( "When both do the job together, they make    of the job per hour.\r\n" );
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document.write( "When Jerry makes it alone, he completes    of the job per hour.\r\n" );
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document.write( "Hence, the associate makes   -   of the job per hour.\r\n" );
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document.write( "     -  =  = .\r\n" );
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document.write( "It means that the associate will complete the job in   hours =  hours = 13 hours and 20 minutes.\r\n" );
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\n" ); document.write( "\n" ); document.write( "In this way, you do not need solve equation. You only manipulate fractions.\r
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\n" ); document.write( "\n" ); document.write( "I believe, you will feel yourself much more confident, when you know this approach.\r
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\n" ); document.write( "\n" ); document.write( "This approach has two (at least, two) benefits comparing with using equations.\r
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\n" ); document.write( "\n" ); document.write( "First, even young students can solve such problems, who ddn't study equations yet, but know fractions.\r
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\n" ); document.write( "\n" ); document.write( "The second benefit is that they will learn and will understand the notion (the conception) of \"rate of work\",\r
\n" ); document.write( "\n" ); document.write( "which is, usually, goes out (goes away, disappears), when they are touched to use equations only.\r
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\n" ); document.write( "\n" ); document.write( "It is a standard and 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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