document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1080135>Question 1080135</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In 9 &#8203;minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 45 minutes. If both belts are&#8203; used, find how long it takes to move the cans to the storage area. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #694361 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=694361\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The rate for the large conveyor belt is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+300%2F9+=+100%2F3+ ALIGN=MIDDLE  ALT=\"+300%2F9+=+100%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > pounds/min<BR>\n" );
document.write( "The rate for the smaller belt is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+300%2F45+=+20%2F3+ ALIGN=MIDDLE  ALT=\"+300%2F45+=+20%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<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 in minutes for the 2 belts<BR>\n" );
document.write( "used together to move <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+300+ ALIGN=MIDDLE  ALT=\"+300+\"   DISABLED_style= \"max-width:90%; height:auto;\" > pounds<BR>\n" );
document.write( "Add their rates to get rate working together<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100%2F3+%2B+20%2F3+=+300%2Ft+ ALIGN=MIDDLE  ALT=\"+100%2F3+%2B+20%2F3+=+300%2Ft+\"   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=+3t+ ALIGN=MIDDLE  ALT=\"+3t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100t+%2B+20t+=+900+ ALIGN=MIDDLE  ALT=\"+100t+%2B+20t+=+900+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+120t+=+900+ ALIGN=MIDDLE  ALT=\"+120t+=+900+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+7.5+ ALIGN=MIDDLE  ALT=\"+t+=+7.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Both belts used together take 7 min 30 sec to<BR>\n" );
document.write( "move 300 pounds of cans<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100%2F3+%2B+20%2F3+=+300%2Ft+ ALIGN=MIDDLE  ALT=\"+100%2F3+%2B+20%2F3+=+300%2Ft+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100%2F3+%2B+20%2F3+=+300%2F7.5+ ALIGN=MIDDLE  ALT=\"+100%2F3+%2B+20%2F3+=+300%2F7.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+33.333+%2B+6.667+=+40+ ALIGN=MIDDLE  ALT=\"+33.333+%2B+6.667+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40+=+40+ ALIGN=MIDDLE  ALT=\"+40+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );