document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=979707>Question 979707</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two pipes running together can fill a tank in 15 minutes. The larger pipe can fill the tank 16 minutes sooner than the smaller pipe. Find the time in which each pipe alone can 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 #601046 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=601046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two pipes running together can fill a tank in 15 minutes.<BR>\n" );
document.write( " The larger pipe can fill the tank 16 minutes sooner than the smaller pipe. Find the time in which each pipe alone can fill the tank.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = the time required by the larger pipe<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+16) = time required by the smaller<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let the completed job = 1 (a full tank)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A shared work equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2Fx ALIGN=MIDDLE  ALT=\"15%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F%28%28x%2B16%29%29 ALIGN=MIDDLE  ALT=\"15%2F%28%28x%2B16%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply equation by x(x+16), cancel the denominators and you have<BR>\n" );
document.write( "15(x+16) + 15x = x(x+16)<BR>\n" );
document.write( "15x + 240 + 15x = x^2 + 16x<BR>\n" );
document.write( "Arrange as a quadratic equation on the right<BR>\n" );
document.write( "0 = x^2 + 16x - 30x - 240<BR>\n" );
document.write( "x^2 - 14x - 240 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(x-24)(x+10) = 0<BR>\n" );
document.write( "positive solution<BR>\n" );
document.write( "x = 24 minutes the time of the larger pipe<BR>\n" );
document.write( "then<BR>\n" );
document.write( "24 + 16 = 40 min for smaller pipe<BR>\n" );
document.write( ":<BR>\n" );
document.write( ";<BR>\n" );
document.write( "See if that checks out<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F24 ALIGN=MIDDLE  ALT=\"15%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F40 ALIGN=MIDDLE  ALT=\"15%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".625 + .375 = 1<BR>\n" );
document.write( ":\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );