document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=778933>Question 778933</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pipe A can fill a tank in 7 hours more than pipe B can. If A is opened for as many hours as it would take B to fill a tank, B can complete the filling 5 hours. How long does it take each pipe, alone, to fill a tank? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #474960 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=474960\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Pipe A can fill a tank in 7 hours more than pipe B can.<BR>\n" );
document.write( " If A is opened for as many hours as it would take B to fill a tank, B can complete the filling 5 hours.<BR>\n" );
document.write( " How long does it take each pipe, alone, to fill a tank?<BR>\n" );
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document.write( "Let t = time required by pipe B alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+7) = time required by pipe A<BR>\n" );
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document.write( "Let the completed job = 1; (a full tank)<BR>\n" );
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document.write( "A shared work equation, each pipe does a fraction of the job<BR>\n" );
document.write( "The two fractions add up to 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F%28%28t%2B7%29%29 ALIGN=MIDDLE  ALT=\"t%2F%28%28t%2B7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Ft ALIGN=MIDDLE  ALT=\"5%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply equation by t(t+7), to clear the denominators, resulting in:<BR>\n" );
document.write( "t^2 + 5(t+7) = t(t+7)<BR>\n" );
document.write( "t^2 + 5t + 35 = t^2 + 7t<BR>\n" );
document.write( "Subtract t^2 from both sides<BR>\n" );
document.write( "5t + 35 = 7t<BR>\n" );
document.write( "35 = 7t - 5t<BR>\n" );
document.write( "35 = 2t<BR>\n" );
document.write( "t = 35/2<BR>\n" );
document.write( "t = 17.5 hrs for B to fill the tank alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "17.5 + 7 = 24.5 hrs for A to do it<BR>\n" );
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document.write( "Check this with a calc<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17.5%2F24.5 ALIGN=MIDDLE  ALT=\"17.5%2F24.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F17.5 ALIGN=MIDDLE  ALT=\"5%2F17.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 </SPAN>\n" );
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