document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=109280>Question 109280</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two pipes togather can fill a large tank in 10hrs. one of the pipes , used alone , takes 15hrs longer than the other to fill the tank . hown long would each pipe take to fill the tank alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #79667 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=79667\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> two pipes togeather can fill a large tank in 10hrs<BR>\n" );
document.write( "---------.<BR>\n" );
document.write( "Together DATA:<BR>\n" );
document.write( "Time = 10 hrs/job ; Rate = 1/10 job/hr<BR>\n" );
document.write( "-------------------- <BR>\n" );
document.write( "one of the pipes , used alone , takes 15hrs longer than the other to fill the tank .<BR>\n" );
document.write( "1st pipe DATA;<BR>\n" );
document.write( "Time = x hrs/job ; Rate = 1/x job/hr<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "2nd pipe DATA:<BR>\n" );
document.write( "Time = x+15 hrs/job ; Rate = 1/(x+15) job/hr<BR>\n" );
document.write( "------------------- <BR>\n" );
document.write( "how long would each pipe take to fill the tank alone?<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/x + 1/(x+15) = 1/10<BR>\n" );
document.write( "Multiply thru by 10x(x+15) to get:<BR>\n" );
document.write( "10(x+15) + 10x = x(x+15)<BR>\n" );
document.write( "20x + 150 = x^2+15x<BR>\n" );
document.write( "x^2-5x+150=0<BR>\n" );
document.write( "(x-15)(x+10) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 15 hrs (time required for 1st pipe to do the job alone)<BR>\n" );
document.write( "x+15 = 30 hrs (time required for the 2nd pipe to do the job alone)<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );