document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=937747>Question 937747</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tank can be filled by two taps A and B in 33 and 1/3 minutes (33 minutes and 20 seconds) when they are running together. Tap A running by itself fills the tank in 15 minutes less than tap B. Find the time taken for each tap running by itself to fill the tank. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #571164 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=571164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A tank can be filled by two taps A and B in 33 and 1/3 minutes (33 minutes and 20 seconds) when they are running together. Tap A running by itself fills the tank in 15 minutes less than tap B. Find the time taken for each tap running by itself to fill the tank.<BR>\n" );
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document.write( "Together DATA: time = 100/3 min/job ; rate = 3/100 job/min<BR>\n" );
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document.write( "Tap A DATA: time = x-15 min/job ; rate = 1/(x-15) job/min<BR>\n" );
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document.write( "Tap B DATA: time = x min/job ; rate = 1/x job/min<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
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document.write( "1/x + 1/(x-15) = 3/100<BR>\n" );
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document.write( "100(x-15)+100x = 3x(x-15)<BR>\n" );
document.write( "200x - 1500 = 3x^2 - 45x<BR>\n" );
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document.write( "3x^2 -245x + 1500 = 0<BR>\n" );
document.write( "Positive solution::<BR>\n" );
document.write( "x = 75 minutes (time for Tap B to do the job)<BR>\n" );
document.write( "x-15 = 60 min (time for Tap A to do the job)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------------\r<BR>\n" );
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document.write( " </SPAN>\n" );
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