document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=629359>Question 629359</A>: <I><SPAN STYLE=\"word-break: break-all;\"> it takes two laser printers 12 minutes, working together, to complete a 680 page print job. If each printer is printing each job alone, the first laser printer takes 10 minutes longer than the second laser printer. How long does it take each printer to complete the printing job alone? What is the speed of each printer? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396263 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=396263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> it takes two laser printers 12 minutes, working together, to complete a<BR>\n" );
document.write( " 680 page print job. <BR>\n" );
document.write( "If each printer is printing each job alone, the first laser printer takes 10<BR>\n" );
document.write( " minutes longer than the second laser printer.<BR>\n" );
document.write( " How long does it take each printer to complete the printing job alone?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = time required 2nd printer working alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+10) = time required by the 1st printer alone<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let the completed job = 1 (printing of 680 pages)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A shared work equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Ft ALIGN=MIDDLE  ALT=\"12%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F%28%28t%2B10%29%29 ALIGN=MIDDLE  ALT=\"12%2F%28%28t%2B10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by t(t+10) to clear the denominators, results:<BR>\n" );
document.write( "12(t+10) + 12t = t(t+10)<BR>\n" );
document.write( "12t + 120 + 12t = t^2 + 10t<BR>\n" );
document.write( "Arrange as a quadratic equation on right<BR>\n" );
document.write( "0 = t^2 + 10t - 24t - 120<BR>\n" );
document.write( "t^2 - 14t - 120 = 0<BR>\n" );
document.write( "Factors<BR>\n" );
document.write( "(t-20)(t+6) = 0<BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "t = 20 minutes time of the 2nd printer<BR>\n" );
document.write( "then<BR>\n" );
document.write( "20 + 10 = 30 min time of the 1st printer<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"What is the speed of each printer?\"<BR>\n" );
document.write( "1st printer: 680/30 = 22<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > pages/min<BR>\n" );
document.write( "2nd printer: 680/20 = 34 pages/min </SPAN>\n" );
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