document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=983258>Question 983258</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two pipes 2 can fill a tank in 61 minutes if both are turned on. if only one is used, it would take 57 minutes longer for the smaller pipe to fill the tank than the larger pipe. how long will it take for the smaller pipe to fill the tank?(round off the answer to the nearest tenth.<BR>\n" );
document.write( "the answer is 156.8 minutes. but how please tell me. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #604047 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=604047\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> represent the number of minutes the small pipe takes to fill the tank.  Since we know this is 57 minutes longer than it takes the large pipe to fill the tank, the large pipe must take <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ -\ 57\"> minutes.\r<BR>\n" );
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document.write( "So if it takes <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> minutes to fill the tank with the small pipe, then the small pipe can fill <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{x}\"> of the tank in 1 minute.  Likewise, the large pipe would fill <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{x\ -\ 57}\"> of the tank in 1 minute.  Since it takes 61 minutes working together, the two pipes working together can fill <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{61}\"> of the tank in 1 minute.  Consequently:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{1}{x}\ +\ \frac{1}{x\ -\ 57}\ =\ \frac{1}{61}\">\r<BR>\n" );
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document.write( "I'll leave the algebra to you, but this simplifies to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ -\ 179x\ +\ 3477\ =\ 0\">\r<BR>\n" );
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document.write( "Solve for the positive root.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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