document.write( "Question 864355: please help me solve this problem
\n" ); document.write( "Two people could finish laying a hardwood floor in seven hours. If the first could do it alone in ten hours, how long could the other person do it alone?
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Algebra.Com's Answer #520932 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
x = time it takes for person A to do the job alone
\n" ); document.write( "y = time it takes for person B to do the job alone
\n" ); document.write( "z = time it takes for them to get the job done when they work together\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 = 10
\n" ); document.write( "y = unknown (leave it as y for now)
\n" ); document.write( "z = 7\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%2F10+%2B+1%2Fy+=+1%2F7\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2Fy+=+1%2F7-1%2F10\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2Fy+=+10%2F70-1%2F10\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2Fy+=+10%2F70-7%2F70\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2Fy+=+%2810-7%29%2F70\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2Fy+=+3%2F70\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2A70+=+3y\"\r
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\n" ); document.write( "\n" ); document.write( "\"70+=+3y\"\r
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\n" ); document.write( "\n" ); document.write( "\"70%2F3+=+y\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+70%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "So it will take \"highlight%2870%2F3%29\" hours for the second person to do the job alone.\r
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\n" ); document.write( "\n" ); document.write( "Since \"70%2F3+=+23+%26+1%2F3\", this means it takes \"highlight%2823%261%2F3%29\" hours (\"highlight%2823%261%2F3%29\" hours = 23 hours, 20 minutes)\r
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\n" ); document.write( "\n" ); document.write( "If you want the time in minutes only, then multiply it by 60 to get \"%2870%2F3%29%2A60+=+4200%2F3+=+1400\" minutes\r
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