document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=245332>Question 245332</A>: <I><SPAN STYLE=\"word-break: break-all;\"> machine A can fill a gallon container in 7 minutes while machine B can fill the same container in 5 minutes. create an equation and determine how long it would take if they filled the container at the same time. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #179239 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=179239\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let T be the time is takes to fill the 1 gallon tank with both machines.\r<BR>\n" );
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document.write( "The formula for filling the tank is the combined machine filling rate times the time T. \r<BR>\n" );
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document.write( "The rate for machine A is one gallon in 7 minutes or 1/7 gal/min<BR>\n" );
document.write( "The rate for machine B is one gallon in 5 minutes or 1/5 gal/min\r<BR>\n" );
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document.write( "The combined filling rate for A and B then is (1/7 + 1/5) gal/min\r<BR>\n" );
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document.write( "If it takes T minutes to fill the 1 gallon tank with both machines we have\r<BR>\n" );
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document.write( "1 = T*(1/7 + 1/5)<BR>\n" );
document.write( "1 = T/7 + T/5<BR>\n" );
document.write( "1 = (5T+7T)/35<BR>\n" );
document.write( "35 = 12T<BR>\n" );
document.write( "T = 35/12 minutes   </SPAN>\n" );
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