document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=697172>Question 697172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have been struggling with this for the last hour...\r<BR>\n" );
document.write( "\n" );
document.write( "Three machines are twisting pretzels. Two are old and one is new. The new machine can twist pretzels twice as fast as an old machine can. An old machine can twist the daily quota of pretzels in 20 hours. How long will it take to make the quota if the three machines are operated 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 #429724 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=429724\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You must add the rates of twisting for each<BR>\n" );
document.write( "of the machines to get their rate working together.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the time to fill daily quota with all<BR>\n" );
document.write( "three machines running<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "The old machine's rate is ( 1 daily quota ) / ( 20 hrs ) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F20+ ALIGN=MIDDLE  ALT=\"+1%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If the New machine's rate is twice the old one's, then it can do<BR>\n" );
document.write( "( 1 daily quota ) / ( 10 hrs ) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F10+ ALIGN=MIDDLE  ALT=\"+1%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "With all 3 machines running:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F20+%2B+1%2F20+%2B+1%2F10+=+1%2Ft+ ALIGN=MIDDLE  ALT=\"+1%2F20+%2B+1%2F20+%2B+1%2F10+=+1%2Ft+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2F20+%2B+1%2F10+=+1%2Ft+ ALIGN=MIDDLE  ALT=\"+2%2F20+%2B+1%2F10+=+1%2Ft+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2F20+%2B+2%2F20+=+1%2Ft+ ALIGN=MIDDLE  ALT=\"+2%2F20+%2B+2%2F20+=+1%2Ft+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+=+4%2F20+ ALIGN=MIDDLE  ALT=\"+1%2Ft+=+4%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+=+1%2F5+ ALIGN=MIDDLE  ALT=\"+1%2Ft+=+1%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+5+ ALIGN=MIDDLE  ALT=\"+t+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It will take 5 hrs to fill daily quota with all<BR>\n" );
document.write( "three machines running<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );