document.write( "Question 452151: If 2 men take 8 days to mow a field and the faster man can do it alone in 12 days how long will it take the slower man to do it alone? \n" ); document.write( "

Algebra.Com's Answer #310865 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
If 2 men take 8 days to mow a field and the faster man can do it alone in 12 days how long will it take the slower man to do it alone?
\n" ); document.write( ":
\n" ); document.write( "Let x = slow man's time alone
\n" ); document.write( "Let the completed job = 1 (a mowed field)
\n" ); document.write( ":
\n" ); document.write( "A typical shared work equation
\n" ); document.write( ":
\n" ); document.write( " $\"8%2F12\"$ + $\"8%2Fx\"$ = 1
\n" ); document.write( "multiply by 12x, results:
\n" ); document.write( "8x + 8(12) = 12x
\n" ); document.write( "96 = 12x - 8x
\n" ); document.write( "96 = 4x
\n" ); document.write( "x = $\"96%2F4\"$
\n" ); document.write( "x = 24 days alone
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "check
\n" ); document.write( "8/12 + 8/24 =
\n" ); document.write( "2/3 + 1/3 = 1 \n" ); document.write( "

\n" );