document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=33672>Question 33672</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130519669/algebrahomeworkh>Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> One machine in a print shop can produce a certain number of pages twice as fast as another machine. Operating together, these machines can produce this number of pages in 8 minutes. How long would it take each machine, working alone, to producing this number of pages? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #20081 by </B><A HREF=/tutors/aboutme.mpl?userid=Paul><B>Paul(988)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Paul><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=20081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One machine = 2x<BR>\n" );
document.write( "Other machine = x<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2x%2B1%2Fx=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F2x%2B1%2Fx=1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2x%2B1%2Fx=0.125 ALIGN=MIDDLE  ALT=\"1%2F2x%2B1%2Fx=0.125\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2x+x)=0.125[(2x)(x)]<BR>\n" );
document.write( "3x=0.25x^2<BR>\n" );
document.write( "0.25x^2-3x=0<BR>\n" );
document.write( "times the equation by 4:<BR>\n" );
document.write( "x^2-12x=0<BR>\n" );
document.write( "Differentate with respect to x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdt=%282x%29dx%2Fdt-%2812%29%2Fdx%2Fdt ALIGN=MIDDLE  ALT=\"dy%2Fdt=%282x%29dx%2Fdt-%2812%29%2Fdx%2Fdt\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-2x=-12<BR>\n" );
document.write( "x=6<BR>\n" );
document.write( "Mutliply the results by 2:<BR>\n" );
document.write( "2(6)=12<BR>\n" );
document.write( "Hence, one machine can produce 12 pages and other can produce 2(12)=24 pages.<BR>\n" );
document.write( "Paul. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );