document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1094128>Question 1094128</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hose can fill a swimming pool in 12 hours. Another hose needs 6 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 #708737 by </B><A HREF=/tutors/aboutme.mpl?userid=Gentle+Phill><B>Gentle Phill(18)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gentle+Phill><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=Gentle+Phill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=708737\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the 1st hose be A and the 2nd one, B<BR>\n" );
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document.write( "Since A can fill 1 pool in 12 hours<BR>\n" );
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document.write( "A(rate) = 1pool/12hrs<BR>\n" );
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document.write( "Simply put:<BR>\n" );
document.write( "A = 1/12<BR>\n" );
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document.write( "B(rate) = 1pool/xhrs<BR>\n" );
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document.write( "Simply put:<BR>\n" );
document.write( "B = 1/x<BR>\n" );
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document.write( "(A+B) = 1pool/yhrs<BR>\n" );
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document.write( "(A+B) = 1/y<BR>\n" );
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document.write( "(1/12)+(1/x) = 1/y<BR>\n" );
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document.write( "y = 12x/(x+12) ... Eqn 1<BR>\n" );
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document.write( "Just so that you dont get confused;<BR>\n" );
document.write( "~ x = time for which only B fills the pool<BR>\n" );
document.write( "~ y = time for which both A & B fills the pool.<BR>\n" );
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document.write( "But y = x-6hrs<BR>\n" );
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document.write( "Simply put:<BR>\n" );
document.write( "y = x-6<BR>\n" );
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document.write( "Substitute into eqn 1:<BR>\n" );
document.write( "x-6 = 12x/(x+12)<BR>\n" );
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document.write( "(x-6)(x+12) = 12x<BR>\n" );
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document.write( "x2+6x-72 = 12x<BR>\n" );
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document.write( "x2+6x-12x-72 = 0<BR>\n" );
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document.write( "x(x+6)-12(x+6) = 0<BR>\n" );
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document.write( "(x-12)(x+6) = 0<BR>\n" );
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document.write( "x = (12, -6)<BR>\n" );
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document.write( "Since the time can not be a negative value, required x = 12<BR>\n" );
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document.write( "Thus, time for which B fills the pool = 12hrs (same as A)<BR>\n" );
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document.write( "Upon evaluation both will fill in same pool within 6hrs which is 6hrs less than only B or A.<BR>\n" );
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document.write( "Your friend,<BR>\n" );
document.write( "Francis. </SPAN>\n" );
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