document.write( "Question 866752: It takes Dave 20 hours to paint a fence. When he works with Mike, they can paint the same fence in 4 hours. How long would it take Mike to paint the fence working alone? \n" ); document.write( "
Algebra.Com's Answer #522462 by jim_thompson5910(35256)\"\" \"About 
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x = time it takes for Dave to do the job alone
\n" ); document.write( "y = time it takes for Mike to do the job alone
\n" ); document.write( "z = time it takes for them to get the job done when they work together. This is assuming that one person doesn't slow the other down and they work in the most efficient way as a team.\r
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\n" ); document.write( "\n" ); document.write( "When we make those definitions above, it turns out that we can tie x,y,z together with this equation \r
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\n" ); document.write( "\n" ); document.write( "\"1%2Fx+%2B+1%2Fy+=+1%2Fz\"\r
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\n" ); document.write( "\n" ); document.write( "In this case, \r
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\n" ); document.write( "\n" ); document.write( "x = 20
\n" ); document.write( "y = unknown (leave it as y for now)
\n" ); document.write( "z = 4\r
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\n" ); document.write( "\n" ); document.write( "Plug those into the equation and solve for y\r
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\n" ); document.write( "\n" ); document.write( "\"1%2Fx+%2B+1%2Fy+=+1%2Fz\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2F20+%2B+1%2Fy+=+1%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2Fy+=+1%2F4+-+1%2F20\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2Fy+=+5%2F20+-+1%2F20\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2Fy+=+%285+-+1%29%2F20\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2Fy+=+4%2F20\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2Fy+=+1%2F5\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2A5+=+y%2A1\"\r
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\n" ); document.write( "\n" ); document.write( "\"5+=+y\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+5\"\r
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\n" ); document.write( "\n" ); document.write( "So it will take 5 hours for Mike to do the job alone.
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