document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=211163>Question 211163</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hose can fill a swimming pool in 6 hours.  Another hose needs 3 more hours to fill the pool than the two hoses combined.  How long would it take the second hose 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 #159627 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=159627\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A hose can fill a swimming pool in 6 hours. Another hose needs 3 more hours to fill the pool than the two hoses combined. How long would it take the second hose to fill the pool.<BR>\n" );
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document.write( "h1 takes 6 hours, so it fills 1/6 pool per hour.<BR>\n" );
document.write( "h2 takes x hours, so it fills 1/x pool per hour.<BR>\n" );
document.write( "Together, they do 1/6 + 1/x per hour.<BR>\n" );
document.write( "1/6 + 1/x = (x+6)/6x per hour (together), so it takes 6x/(x+6) hours.<BR>\n" );
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document.write( "The time the 2nd hose takes, x hours, is 3 hours more than the time together.<BR>\n" );
document.write( "x-3 = 6x/(x+6)<BR>\n" );
document.write( "(x-3)*(x+6) = 6x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+3x+-+18+=+6x ALIGN=MIDDLE  ALT=\"x%5E2+%2B+3x+-+18+=+6x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+3x+-+18+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+3x+-+18+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(x-6)*(x+3) = 0<BR>\n" );
document.write( "x = 6 hours (Ignore the -3 hours)<BR>\n" );
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document.write( "Each hose takes 6 hours.  Together they take 3 hours, so the time for the 2nd hose is 3 hours more than the 3 hours together. </SPAN>\n" );
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