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 #549909 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=549909\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You asked another one like this in which only two of the values were different but the description and question were the same.\r<BR>\n" );
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document.write( "1 job is \"paint the fence\"\r<BR>\n" );
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document.write( "RATES in jobs per hours<BR>\n" );
document.write( "Ralph, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fm ALIGN=MIDDLE  ALT=\"1%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Lisa, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ff ALIGN=MIDDLE  ALT=\"1%2Ff\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Both questions used 45 minutes for the time that Ralph  (m for male) painted alone; which is<BR>\n" );
document.write( "<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;\" > hour.  Let x be the time that Ralph and Lisa  (f for female) work together after<BR>\n" );
document.write( "Ralph worked alone.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%281%2Fm%29%283%2F4%29%2B%281%2Fm%2B1%2Ff%29x=1%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%281%2Fm%29%283%2F4%29%2B%281%2Fm%2B1%2Ff%29x=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, accounting for ONE WHOLE JOB.<BR>\n" );
document.write( "One equation, three variables, but m and f are to be used as known constants, and only<BR>\n" );
document.write( "x is the unknown variable to be solved.  Solve for x.<BR>\n" );
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