document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=666302>Question 666302</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A swimming pool can be filled in 15 hours if water enters through a pipe alone. 23 hours if water enters through a hose alone. How long will it take to fill the pool if water is entering through both the pipe and the hose? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #414512 by </B><A HREF=/tutors/aboutme.mpl?userid=kevwill><B>kevwill(135)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=kevwill><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=kevwill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=414512\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We start by turning the times into rates.  <BR>\n" );
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document.write( "A pipe can fill the swimming pool in 15 hours, so the rate for the pipe is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F15 ALIGN=MIDDLE  ALT=\"1%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > of a swimming pool per hour.<BR>\n" );
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document.write( "A hose can fill the swimming pool in 23 hours, so the rate for the hose is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F23 ALIGN=MIDDLE  ALT=\"1%2F23\"   DISABLED_style= \"max-width:90%; height:auto;\" > of a swimming pool per hour.<BR>\n" );
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document.write( "Their combined rate, r, is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F15+%2B+1%2F23 ALIGN=MIDDLE  ALT=\"1%2F15+%2B+1%2F23\"   DISABLED_style= \"max-width:90%; height:auto;\" > of a swimming pool per hour.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+1%2F15+%2B+1%2F23 ALIGN=MIDDLE  ALT=\"r+=+1%2F15+%2B+1%2F23\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+%2823%2F23%29%281%2F15%29+%2B+%2815%2F15%29%281%2F23%29 ALIGN=MIDDLE  ALT=\"r+=+%2823%2F23%29%281%2F15%29+%2B+%2815%2F15%29%281%2F23%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+23%2F345+%2B+15%2F345 ALIGN=MIDDLE  ALT=\"r+=+23%2F345+%2B+15%2F345\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+%2823+%2B+15%29%2F345 ALIGN=MIDDLE  ALT=\"r+=+%2823+%2B+15%29%2F345\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+38%2F345 ALIGN=MIDDLE  ALT=\"r+=+38%2F345\"   DISABLED_style= \"max-width:90%; height:auto;\" > of a swimming pool per hour<BR>\n" );
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document.write( "So both the pipe and the hose together will take <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=345%2F38+=+9%263%2F38 ALIGN=MIDDLE  ALT=\"345%2F38+=+9%263%2F38\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours to fill the pool, or 9 hours 4 minutes and 44.21 seconds.<BR>\n" );
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