document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031208>Question 1031208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Joe and Renee are building a fence. Joe can build a fence alone in 4 hours. If Renee starts helping Joe after he has already worked on the fence for 2 hours, they will finish the fence 90 minutes after she joins him. How long would it take Renee to build the fence alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645948 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=645948\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What fraction of the fence does Joe get<BR>\n" );
document.write( "done in 2 hrs working alone?<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Joe's rate: [ 1 fence built ] / [ 4 hrs ]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A%28+1%2F4+%29+=+1%2F2+ ALIGN=MIDDLE  ALT=\"+2%2A%28+1%2F4+%29+=+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Joe builds 1/2 of the fence in 2 hrs<BR>\n" );
document.write( "There is 1/2 of the fence left to build<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Renee joins Joe. They do 1/2 fence <BR>\n" );
document.write( "in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+90+ ALIGN=MIDDLE  ALT=\"+90+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F2+ ALIGN=MIDDLE  ALT=\"+3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "Their rate working together:<BR>\n" );
document.write( "[ 1/2 fence ] / [ 3/2 hrs ]<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Renee's time working alone <BR>\n" );
document.write( "to finish 1 fence.<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Add their rates working alone to get rate<BR>\n" );
document.write( "working together:<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+%2B+1%2Ft+=+%28%281%2F2%29%29+%2F+%28%283%2F2%29%29+ ALIGN=MIDDLE  ALT=\"+1%2F4+%2B+1%2Ft+=+%28%281%2F2%29%29+%2F+%28%283%2F2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+%2B+1%2Ft+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+1%2F4+%2B+1%2Ft+=+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12t+ ALIGN=MIDDLE  ALT=\"+12t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3t+%2B+12+=+4t+ ALIGN=MIDDLE  ALT=\"+3t+%2B+12+=+4t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+12+ ALIGN=MIDDLE  ALT=\"+t+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Working alone, Renee can finish the fence in 12 hrs<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+%2B+1%2Ft+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+1%2F4+%2B+1%2Ft+=+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+%2B+1%2F12+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+1%2F4+%2B+1%2F12+=+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F12+%2B+1%2F12+=+4%2F12+ ALIGN=MIDDLE  ALT=\"+3%2F12+%2B+1%2F12+=+4%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%2F12+=+4%2F12+ ALIGN=MIDDLE  ALT=\"+4%2F12+=+4%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );