document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=793474>Question 793474</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm completely stumped on this word problem, and it would mean so much for some help. \r<BR>\n" );
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document.write( "it takes an hp laserjet 1300 10 minutes longer to complete a 600-page print job by itself than it takes an HP Laserjet 2420 to complete the same job by itself. Together the two printers can complete the job in 12 minutes. How long does it take each printer to complete the job alone? what is the speed of each printer?\r<BR>\n" );
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document.write( "Thank you very much<3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #480371 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=480371\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> it takes an hp laserjet 1300 10 minutes longer to complete a 600-page print job by itself than it takes an HP Laserjet 2420 to complete the same job by itself. Together the two printers can complete the job in 12 minutes. How long does it take each printer to complete the job alone? what is the speed of each printer?<BR>\n" );
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document.write( "HP 2420 DATA:<BR>\n" );
document.write( "time = x min/job ; rate = (1/x) job/min<BR>\n" );
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document.write( "HP 1300 DATA:<BR>\n" );
document.write( "time = (x+10) min/job ; rate = 1/(x+10) = job/min<BR>\n" );
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document.write( "Together DATA:<BR>\n" );
document.write( "time = 12 min/job ; rate = 1/12 job/min<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/x + 1/(x+10) = 1/12<BR>\n" );
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document.write( "12(x+10) + 12x = x(x+10)<BR>\n" );
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document.write( "12x + 120 + 12x = x^2 + 10x<BR>\n" );
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document.write( "x^2 + -14x - 120 = 0<BR>\n" );
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document.write( "x = 20 min (HP 2420 time to do the job)<BR>\n" );
document.write( "x + 10 = 30 min (HP 1300 time to do the job)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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