document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=906514>Question 906514</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes Ralph 6 hours to paint a fence alone. Lisa can do the same job in 9 hours. If Ralph paints alone for 45 minutes before Lisa begins helping, how long must they work together to finish painting the fence? Give your answer as a simplified fraction. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #549910 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=549910\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ralph's rate of painting is:<BR>\n" );
document.write( "( 1 fence ) / ( 6 hrs ), or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F6+ ALIGN=MIDDLE  ALT=\"+1%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+45+ ALIGN=MIDDLE  ALT=\"+45+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F4+ ALIGN=MIDDLE  ALT=\"+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
document.write( "the fraction of the whole job that<BR>\n" );
document.write( "Ralph does in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F4+ ALIGN=MIDDLE  ALT=\"+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283%2F4%29%2A%281%2F6+%29+=+1%2F8+ ALIGN=MIDDLE  ALT=\"+%283%2F4%29%2A%281%2F6+%29+=+1%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7%2F8+ ALIGN=MIDDLE  ALT=\"+7%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of<BR>\n" );
document.write( "the job remains <BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "They both now work together<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;\" > = time in hrs for them to finish<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F6+%2B+1%2F9+=+%28%287%2F8%29%29+%2F+t+ ALIGN=MIDDLE  ALT=\"+1%2F6+%2B+1%2F9+=+%28%287%2F8%29%29+%2F+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F6+%2B+1%2F9+=+7+%2F+%28%288t%29%29+ ALIGN=MIDDLE  ALT=\"+1%2F6+%2B+1%2F9+=+7+%2F+%28%288t%29%29+\"   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=+72t+ ALIGN=MIDDLE  ALT=\"+72t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12t+%2B+8t+=+63+ ALIGN=MIDDLE  ALT=\"+12t+%2B+8t+=+63+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20t+=+63+ ALIGN=MIDDLE  ALT=\"+20t+=+63+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+63%2F20+ ALIGN=MIDDLE  ALT=\"+t+=+63%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It will take them 63/20 hrs to finish painting<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F6+%2B+1%2F9+=+%28%287%2F8%29%29+%2F+t+ ALIGN=MIDDLE  ALT=\"+1%2F6+%2B+1%2F9+=+%28%287%2F8%29%29+%2F+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F6+%2B+1%2F9+=+%28%287%2F8%29%29+%2F+%28%2863%2F20%29%29+ ALIGN=MIDDLE  ALT=\"+1%2F6+%2B+1%2F9+=+%28%287%2F8%29%29+%2F+%28%2863%2F20%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%2F6+%2B+1%2F9+=+%287%2F8%29%2A%28+20%2F63%29+ ALIGN=MIDDLE  ALT=\"+1%2F6+%2B+1%2F9+=+%287%2F8%29%2A%28+20%2F63%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%2F6+%2B+1%2F9+=+20%2F72+ ALIGN=MIDDLE  ALT=\"+1%2F6+%2B+1%2F9+=+20%2F72+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F6+%2B+1%2F9+=+5%2F18+ ALIGN=MIDDLE  ALT=\"+1%2F6+%2B+1%2F9+=+5%2F18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F18+%2B+2%2F18+=+5%2F18+ ALIGN=MIDDLE  ALT=\"+3%2F18+%2B+2%2F18+=+5%2F18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2F18+=+5%2F18+ ALIGN=MIDDLE  ALT=\"+5%2F18+=+5%2F18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );