document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=22167>Question 22167</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If it takes a Dell Dimension-8300 computer 4 hours to crack a UNIX password file and Gateway E-6100 computer<BR>\n" );
document.write( "twice as long to crack the same password file, how long would it take the two of them, working together<BR>\n" );
document.write( "(assume we can get two of them to work together) to crack the file, if each computer works at its respective<BR>\n" );
document.write( "individual speed?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #10713 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=10713\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the Dell computer takes 4 hrs to crack the password file, then it can crack 1/4 of the file in 1 hour.<BR>\n" );
document.write( "If the Gateway computer takes 2(4) = 8 hrs to crack the same password file, then it can crack 1/8 of the file in 1 hour.<BR>\n" );
document.write( "Working together, the two computers can crack (1/4 + 1/8 = 3/8) of the file in 1 hour.<BR>\n" );
document.write( "Therefore, it would take them 8/3 hours, working together to crack the entire password file.<BR>\n" );
document.write( "8/3 hours = 2 hours 40 minutes. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );