document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=159527>Question 159527</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am printing books in my house, and I have two printers available. My older printer can print one book in 3 hours, whereas my newer printer can finish a book in 1 hour and 20 minutes. At the same time, while these books are printing, my nephew will tear up one book every 6 hours. How long does it take to complete 38 books? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117664 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=117664\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x=amount of time it takes to complete 38 books<BR>\n" );
document.write( "Now what we are going to be shooting for is the following:<BR>\n" );
document.write( "(Rate at which we complete books)*x hours=38 books\r<BR>\n" );
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document.write( "Older printer prints at the rate of 1/3 book per hour<BR>\n" );
document.write( "Newer printer prints at the rate of 1/(1 1/3) or 3/4 book per hour<BR>\n" );
document.write( "Nephew tears up books at the rate of 1/6 book per hour<BR>\n" );
document.write( "With all three working together, they work at the rate of:<BR>\n" );
document.write( "1/3 + 3/4 - 1/6 or<BR>\n" );
document.write( "4/12 + 9/12 -2/12=11/12 book per hour. So our equation to solve is:\r<BR>\n" );
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document.write( "(11/12)x=38  multiply each side by 12<BR>\n" );
document.write( "11x=456 divide each side by 11<BR>\n" );
document.write( "x=41.45hrs or 41hr 27min\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "In 41.45 hours, old printer prints(1/3)(41.45)=13.82 books<BR>\n" );
document.write( "In 41.45 hours, new printer prints (3/4)(41.45)=31.09 books<BR>\n" );
document.write( "In 41.45 hours, nephew tears up (1/6)(41.45)=6.91 books<BR>\n" );
document.write( "13.82 + 31.09 -6.91=38<BR>\n" );
document.write( "38=38\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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