document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=692265>Question 692265</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to do the following problem:  A carpenter and his partner can put up a patio cover in 3 3/7 hours. If the partner needs 8 hours to complete the cover alone, how long would it take the carpenter working alone?     I must show my work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #426949 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=426949\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=the amount of time it takes the carpenter working alone to put up the cover<BR>\n" );
document.write( "Then the carpenter works at the rate of 1/x of the cover per hour<BR>\n" );
document.write( "The carpenter and his partner works at the rate of 1/(3 3/7)=1/(24/7)=7/24 of the cover per hour<BR>\n" );
document.write( "The partner works at the rate of 1/8 of the cover per hour, soooo\r<BR>\n" );
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document.write( "1/x + 1/8 =7/24  multiply each term by 24x<BR>\n" );
document.write( "24+3x=7x<BR>\n" );
document.write( "4x=24<BR>\n" );
document.write( "x=6 hours time it takes the carpenter working alone\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "1/6+1/8=7/24<BR>\n" );
document.write( "4/24+3/24=7/24<BR>\n" );
document.write( "7/24=7/24\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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