document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=351477>Question 351477</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A local dairy has three machines to fill half-gallon milk cartons. The machines can fill the daily quota in 6 hours, 7 hours, and 7.5 hours, respectively. Find how long it takes to fill the daily quota if all three machines are running. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #251116 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=251116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A local dairy has three machines to fill half-gallon milk cartons. The machines can fill the daily quota in 6 hours, 7 hours, and 7.5 hours, respectively. Find how long it takes to fill the daily quota if all three machines are running.<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "rate + rate + rate = together rate<BR>\n" );
document.write( "1/6 + 1/7 + 2/15 = 1/x<BR>\n" );
document.write( "Multiply thru by 630x to get:<BR>\n" );
document.write( "105x + 90x + 84x = 630<BR>\n" );
document.write( "279x = 630<BR>\n" );
document.write( "x = 2.26 hrs (time to do the job together)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );