document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=723201>Question 723201</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes Ralph 6 hours to paint a fence. Lisa can do the same job in 10 hours. If Ralph paints alone for 30 minutes before Lisa begins helping, how long must they work together to finish painting the fence? Give your answer to three decimal places.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #443070 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=443070\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The question to ask is: \"What fraction of the job does<BR>\n" );
document.write( "Ralph get done in a 1/2 hour ?\"<BR>\n" );
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document.write( "Multiply Ralph's rate of painting times 1/2 hr<BR>\n" );
document.write( "( 1 fence / 6 hrs ) x ( 1/2 ) = 1/12<BR>\n" );
document.write( "So Ralph finishes 1/12 of the fence in 1/2 hr<BR>\n" );
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document.write( "There is 11/12 of the fence left to paint<BR>\n" );
document.write( "Add their rates of painting to get their rate<BR>\n" );
document.write( "painting 11/12 of the fence<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F6+%2B+1%2F10+=+%2811%2F12%29+%2F+t+ ALIGN=MIDDLE  ALT=\"+1%2F6+%2B+1%2F10+=+%2811%2F12%29+%2F+t+\"   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=+2t+%2B+1.2t+=+11+ ALIGN=MIDDLE  ALT=\"+2t+%2B+1.2t+=+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3.2t+=+11+ ALIGN=MIDDLE  ALT=\"+3.2t+=+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+11%2F3.2+ ALIGN=MIDDLE  ALT=\"+t+=+11%2F3.2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+3.438+ ALIGN=MIDDLE  ALT=\"+t+=+3.438+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "They must work together for 3.438 hrs to finish\r<BR>\n" );
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