document.write( "Question 924013: 10 men can tile the roof of a house in 9 days. How long would 6men take, working at the same rate \n" ); document.write( "

Algebra.Com's Answer #560607 by ptaylor(2198) $\"\"$ $\"About$

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Let x=amount of time it would take 6 men to tile the roof
\n" ); document.write( "If 10 men can tile a roof in 9 days, then 1 man can tile a roof in 10*9=90 days
\n" ); document.write( "Sooooo 1 man works at the rate of (1/90) of a roof per day
\n" ); document.write( "6 men would work at the rate of 6/90 of a roof per day
\n" ); document.write( "So the rate at which the 6 men work multiplied by the amount of time they work equals the amount of work that gets done (makes sense)
\n" ); document.write( "(6/90)x=1 (that would be 1 completed roof)
\n" ); document.write( "multiply each side by 90
\n" ); document.write( "6x=90
\n" ); document.write( "x=15 days----time it would take 6 men \r
\n" ); document.write( "\n" ); document.write( "Another way-----
\n" ); document.write( "If 10 men can tile a roof in 9 days, then it takes 90 man-days to tile the roof
\n" ); document.write( "1 man----90 days
\n" ); document.write( "2 men ---45 days
\n" ); document.write( "-
\n" ); document.write( "-
\n" ); document.write( "6 men-- 15 days
\n" ); document.write( "-
\n" ); document.write( "9 men --10 days
\n" ); document.write( "90 men-----1 day (if they don't get in each others way:)\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "

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