document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824374>Question 824374</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2 taps (one large and one small) fill a tank together in total of 48 minutes.<BR>\n" );
document.write( "difference between time taken to fill the tank by small tap (only) and large tap(only) but (separately) is 40 minutes.<BR>\n" );
document.write( "find the time taken by each tap separately<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496401 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=496401\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let large tap fill in x minutes<BR>\n" );
document.write( "small tap will fill in (x-40) minutes\r<BR>\n" );
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document.write( "They together fill in 48 minutes<BR>\n" );
document.write( "1/48 of the job is done by both iin 1 minute\r<BR>\n" );
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document.write( "large tap does 1/x of the job in 1 minute<BR>\n" );
document.write( "small tap does 1/(x-40) of the job in 1 minute\r<BR>\n" );
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document.write( "1/x + 1/(x-40) = 1/48\r<BR>\n" );
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document.write( "LCM\r<BR>\n" );
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document.write( "(x-40+x)/x(x-40) = 1/48\r<BR>\n" );
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document.write( "(2x-40)=(x^2-40x)/48\r<BR>\n" );
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document.write( "48(2x-40)= x^2-40x\r<BR>\n" );
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document.write( "96x-1920=x^2-40x\r<BR>\n" );
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document.write( "x^2-136x+1920=0\r<BR>\n" );
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document.write( "x^2-120x-16x+1920=0\r<BR>\n" );
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document.write( "x(x-120)-16(x-120)=0\r<BR>\n" );
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document.write( "(x-16)(x-120)=0\r<BR>\n" );
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document.write( "x=16 OR 120 minutes\r<BR>\n" );
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document.write( "large tap cannot take 16 minutes as difference is 40\r<BR>\n" );
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document.write( "large tap 120 minutes<BR>\n" );
document.write( "small tap = 80 minutes\r<BR>\n" );
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