document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=785262>Question 785262</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A swimming pool is supplied with water through two pipes.  When both pipes are used, the pool can be filled in 4,8 hours.  The larger pipe alone will fill the pool in 4 hours less time than the smaller one.  Find the time required for each pipe separately to fill the pool. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477445 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=477445\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One job is, \"fill the pool\".  We want to use rates in units of jobs per hour.\r<BR>\n" );
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document.write( "Combined Pipes fill rate, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4.8 ALIGN=MIDDLE  ALT=\"1%2F4.8\"   DISABLED_style= \"max-width:90%; height:auto;\" > jobs per hour.\r<BR>\n" );
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document.write( "Small pipe rate, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx ALIGN=MIDDLE  ALT=\"1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > jobs per hour.<BR>\n" );
document.write( "Larger pipe rate, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x-4%29 ALIGN=MIDDLE  ALT=\"1%2F%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > jobs per hour.<BR>\n" );
document.write( "These two must be well understood before continuing....\r<BR>\n" );
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document.write( "The fill rates for the two pipes open at same time are directly additive, so the equation for this is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%281%2F%28x%29%2B1%2F%28x-4%29=1%2F4.8%29 ALIGN=MIDDLE  ALT=\"highlight%281%2F%28x%29%2B1%2F%28x-4%29=1%2F4.8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you just solve the equation for x, the time needed for the small pipe to fill the pool by itself. </SPAN>\n" );
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