document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=289919>Question 289919</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes two laser printers working together  12 minutes to complete a 580 page print job ,if each printer is printing this job alone, the first laser printer takes 10 minutes longer than the second printer . How long does it take each printer to complete the print job alone? What is the speed of each printer. \r<BR>\n" );
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document.write( "I don't even know where to begin with this. Someone please help me step by step?<BR>\n" );
document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209895 by </B><A HREF=/tutors/aboutme.mpl?userid=Grinnell><B>Grinnell(63)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Grinnell><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=209895\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Pack a Lunch! <BR>\n" );
document.write( "This is basically a CLASSIC RATE WORK PROBLEM.<BR>\n" );
document.write( "Then at the end we have DIVISION to deal with.<BR>\n" );
document.write( "Breathe slowly...we WILL get thru this!!!<BR>\n" );
document.write( "Let x be the faster machine.<BR>\n" );
document.write( "Let x+10 be the slower machine.<BR>\n" );
document.write( "STOP--UNDERSTAND THAT WITH RATE WORK PROBLEMS FAST AND SLOW PARADIGM MEANS ADDING TO SLOWER. E.G. IT TAKES ME 20 MINUTES TO DO SOMETHING IT TAKES YOU 20 + 10 MINUTES TO DO (30 MINUTES) WE ADDED MINUTES TO THE SLOWER TIME. YOU MUST UNDERSTAND THIS IN WORK PROBLEMS.\r<BR>\n" );
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document.write( "Now we are concerned about the Job. NOT THE NATURE OF THE JOB OR THE NUMBER OF PAGES INVOLVED--JUST THAT 'A' JOB IS BEING COMPLETED IN 12 MINUTES. THIS IS WHY WE CAN NOW SAY...<BR>\n" );
document.write( "1/X+1/X+10=1/12 STOP HERE AND REVIEW YOUR SECTION IN YOUR TEXT ABOUT CLASSIC RATE WORK PROBLEMS!<BR>\n" );
document.write( "MULTIPLY THRU BY (X)(X+10)(12) WE GET 12X+120+12X=X^2+10X DO THE 'LIKE TERMS' WE GET...<BR>\n" );
document.write( "X^2-14x-120=0<BR>\n" );
document.write( "(x-20)(x+6)=0 (x cannot be negative because of the nature of the problem, therefore x is 20!<BR>\n" );
document.write( "The faster machine takes 20 minutes to complete the job alone.<BR>\n" );
document.write( "The slower machine takes 30 minutes to complete the job alone.  (1/20+1/30=1/12--You do the check.)<BR>\n" );
document.write( "N   O   W  WE GET TO THE ACTUAL JOB.  580 PAGES!<BR>\n" );
document.write( "580/20=29 SO THE FASTER MACHINE COMPLETES 29 PAGES PER MINUTE<BR>\n" );
document.write( "WHILE THE SLOWER MACHINE (580/30) COMPLETES 19.3 PAGES PER MINUTE. Thanks for the question. Have wonderful afternoon:) </SPAN>\n" );
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