document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=950277>Question 950277</A>: <I><SPAN STYLE=\"word-break: break-all;\">  It takes Ralph 8 hours to paint a fence alone. Lisa can do the same job in 11 hours. If Ralph paints alone for 35 minutes before Lisa begins helping, how long must they work together to finish painting the fence? Give your answer as a simplified fraction. <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 #580223 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=580223\">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 ) / ( 8 hrs )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+35+ ALIGN=MIDDLE  ALT=\"+35+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+35%2F60+=+7%2F12+ ALIGN=MIDDLE  ALT=\"+35%2F60+=+7%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
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document.write( "In <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+35+ ALIGN=MIDDLE  ALT=\"+35+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min, Ralph paints:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+1%2F8+%29%2A+%28+7%2F12+%29+=+7%2F96+ ALIGN=MIDDLE  ALT=\"+%28+1%2F8+%29%2A+%28+7%2F12+%29+=+7%2F96+\"   DISABLED_style= \"max-width:90%; height:auto;\" > fraction of the fence<BR>\n" );
document.write( "That means there is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+-+7%2F96+=+89%2F96+ ALIGN=MIDDLE  ALT=\"+1+-+7%2F96+=+89%2F96+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "of the fence left to paint<BR>\n" );
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document.write( "Add their rates of painting to get rate painting 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 paint<BR>\n" );
document.write( "the fence working together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F8+%2B+1%2F11+=+%28%28+89%2F96+%29%29+%2F+t+ ALIGN=MIDDLE  ALT=\"+1%2F8+%2B+1%2F11+=+%28%28+89%2F96+%29%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=+11%2A96t+ ALIGN=MIDDLE  ALT=\"+11%2A96t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11%2A12t+%2B+96t+=+11%2A89+ ALIGN=MIDDLE  ALT=\"+11%2A12t+%2B+96t+=+11%2A89+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+132t+%2B+96t+=+979+ ALIGN=MIDDLE  ALT=\"+132t+%2B+96t+=+979+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+228t+=+979+ ALIGN=MIDDLE  ALT=\"+228t+=+979+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+979%2F228+ ALIGN=MIDDLE  ALT=\"+t+=+979%2F228+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
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document.write( "Doesn't seem right if they mention \"simplified\"<BR>\n" );
document.write( "I think my method is right, though -check the<BR>\n" );
document.write( "math & get another opinion, too\r<BR>\n" );
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