document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=308255>Question 308255</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a chinese restaurant has a fish pondThe inlet pipe and hose can fill the pond in 6 hours, togetherThe inlet pipe alone can do the job in one hour less than the hose alone find the time the pipe can fill the pond alone and the hose can fill the pond alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #220395 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=220395\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a chinese restaurant has a fish pondThe inlet pipe and hose can fill the pond in 6 hours, togetherThe inlet pipe alone can do the job in one hour less than the hose alone find the time the pipe can fill the pond alone and the hose can fill the pond alone?\r<BR>\n" );
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document.write( "let the hose do the job of filling in x hours<BR>\n" );
document.write( "the inlet pipe does in x-1 hours<BR>\n" );
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document.write( "The hose will do 1/x of the job in 1 hour<BR>\n" );
document.write( "Theinlet pipe will do the job in 1/x-1 hour<BR>\n" );
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document.write( "They both will do 1/x + 1/x-1 of the job in 1 hour<BR>\n" );
document.write( "Add the two fractions. LCM = x(x-1)<BR>\n" );
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document.write( "x-1+x / x(x-1)<BR>\n" );
document.write( "2x-1/x^2-x of the job they do in 1 hour\r<BR>\n" );
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document.write( "For completing the job they will take x^2-x / 2x-1 hours\r<BR>\n" );
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document.write( "x^2-x / 2x-1 = 6\r<BR>\n" );
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document.write( "x^2-x = 6(2x-1)\r<BR>\n" );
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document.write( "x^2-x = 12x-6\r<BR>\n" );
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document.write( "x^2-13x+5=0\r<BR>\n" );
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document.write( "find the roots x1,x2\r<BR>\n" );
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document.write( "x1= 13 + sqrt(169-20)/2<BR>\n" );
document.write( "x1=12.6 hours<BR>\n" );
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document.write( "x2= 13 - sqrt(169-20)/2\r<BR>\n" );
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document.write( "x2= 0.39 hours ( this is not possible )\r<BR>\n" );
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document.write( "The hose takes 12.6 hours to do the job alone\r<BR>\n" );
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document.write( "The inlet pipe takes 11.6 hours to do the job alone\r<BR>\n" );
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document.write( " </SPAN>\n" );
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