document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=310432>Question 310432</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The main engine alone on a rocket can consume the allotted fuel supply in two-thirds the time it takes the auxiliary engine alone. working together they both consume their allotted fuel in 36 seconds. how long could each be fired alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #222022 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=222022\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = alloted fuel<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;\" > = time auxiliary engine takes to consume alloted fuel<BR>\n" );
document.write( "Their rates of consuming fuel are:<BR>\n" );
document.write( "main engine:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F%28%282%2F3%29%2At%29 ALIGN=MIDDLE  ALT=\"a%2F%28%282%2F3%29%2At%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "auxiliary engine:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ft ALIGN=MIDDLE  ALT=\"a%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Both engines together:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F36 ALIGN=MIDDLE  ALT=\"a%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F%28%282%2F3%29%2At%29+%2B+a%2Ft++=+a%2F36 ALIGN=MIDDLE  ALT=\"a%2F%28%282%2F3%29%2At%29+%2B+a%2Ft++=+a%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3a%2F2t+%2B+a%2Ft+=+a%2F36 ALIGN=MIDDLE  ALT=\"3a%2F2t+%2B+a%2Ft+=+a%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36t ALIGN=MIDDLE  ALT=\"36t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54a+%2B+36a++=+at ALIGN=MIDDLE  ALT=\"54a+%2B+36a++=+at\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90a+=+at ALIGN=MIDDLE  ALT=\"90a+=+at\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+90 ALIGN=MIDDLE  ALT=\"t+=+90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%2At+=+60 ALIGN=MIDDLE  ALT=\"%282%2F3%29%2At+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The main engine could be fired for 60 sec<BR>\n" );
document.write( "The auxiliary engine could be fired for 90 sec </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );