document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248812>Question 248812</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A printing press can print 300,000 cards in 12 hours. An older press requires 18 hours to print 300,000 copies of a card. How long would it take for both presses working together to print 300,000 copies?\r<BR>\n" );
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document.write( "I need the rate of work (R), the time of work (T) , and the work done (W)<BR>\n" );
document.write( "the equation is RT = W. \r<BR>\n" );
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document.write( "It would help if I am provided a detailed explanation </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181379 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=181379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Formula is RT = W\r<BR>\n" );
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document.write( "From this formula, you can derive:\r<BR>\n" );
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document.write( "T = W/R<BR>\n" );
document.write( "and<BR>\n" );
document.write( "R = W/T\r<BR>\n" );
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document.write( "printing press can print 300,000 cards in 12 hours.\r<BR>\n" );
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document.write( "T = 12<BR>\n" );
document.write( "W = 300,000<BR>\n" );
document.write( "R = W/T = 300,000/12 = 25,000 cards per hour.\r<BR>\n" );
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document.write( "older press requires 18 hours to print 300,000 cards.\r<BR>\n" );
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document.write( "T = 18<BR>\n" );
document.write( "W = 300,000<BR>\n" );
document.write( "R = W/T = 16,666.66666667 cards per hour.\r<BR>\n" );
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document.write( "working together, their rates will combine.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "T = x<BR>\n" );
document.write( "W = 300,000<BR>\n" );
document.write( "R = 25,000 + 16,666.66666667 = 41,666.66666667 cards per hour.\r<BR>\n" );
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document.write( "When solving for T, formula becomes:\r<BR>\n" );
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document.write( "T = W/R\r<BR>\n" );
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document.write( "This equation becomes:\r<BR>\n" );
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document.write( "T = 300,000/41,666.66666667 = 7.2 hours.\r<BR>\n" );
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document.write( "In 7.2 hours, the printing press has completed 25,000 * 7.2 = 180,000 cards.\r<BR>\n" );
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document.write( "In 7.2 hours, the old press has completed 16,666.66666667 * 7.2 = 120,000 cards.\r<BR>\n" );
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document.write( "total cards produced is 180,000 + 120,000 = 300,000 </SPAN>\n" );
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