document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61081>Question 61081</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321233867/algebrahomeworkh>Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The HP officejet 6110 takes twice the time required by the Canon Imageclass D680 to photocopy brochures for the New Bretton Arts Council year-end concert.  If working together the two machines can complete the job in 24min, how long would it take each machine, working alone to copy the brochures? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42001 by </B><A HREF=/tutors/aboutme.mpl?userid=uma><B>uma(370)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=uma><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=42001\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose the time taken by the Canon machine to complete the job = x hrs.<BR>\n" );
document.write( "So time taken by the HP machine = 2x hrs.\r<BR>\n" );
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document.write( "Quantity copied by the canon in 1 hr = 1/x<BR>\n" );
document.write( "Quantity copied by the HP in 1 hr = 1/2x\r<BR>\n" );
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document.write( "Together the quantity copied in 1 hr = 1/x + 1/2x<BR>\n" );
document.write( "                                      = (2+1)/2x [taking LCD]<BR>\n" );
document.write( "                                      = 3/2x\r<BR>\n" );
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document.write( "Given the time taken by both to complete the job = 24 min<BR>\n" );
document.write( "==> quantity copied in 1 hr = 1/24\r<BR>\n" );
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document.write( "Equating we get,<BR>\n" );
document.write( "1/24 = 3/2x<BR>\n" );
document.write( "multiply both the sides by 24x(LCD),<BR>\n" );
document.write( "(1/24)(24x) = (3/2x)(24x)<BR>\n" );
document.write( "==> x = 36\r<BR>\n" );
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document.write( "Thus the Canon takes 36 minto copy and the HP takes 36*2  = 72 min to copy.\r<BR>\n" );
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document.write( "Good Luck!!!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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