document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1107620>Question 1107620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A certain computer takes an average of 6 seconds to solve a 4- letter matching puzzle. Research has shown that the average time to solve a matching puzzle is directly proportional to the total number of possible choices for the letters. Which of the following is closest to the average length of time it would take to solve an 8-letter matching puzzle? \"Letter\" refers to the 26 uppercase letters of the English alphabet. Letters may be repeated. Assume the computer works continuously and without interruption.<BR>\n" );
document.write( "a) 1 hour<BR>\n" );
document.write( "b) 1 day<BR>\n" );
document.write( "c) 1 month<BR>\n" );
document.write( "d) 1 year </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #722630 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=722630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Possible choices for 4 letters is 26^4=456,976<BR>\n" );
document.write( "for 8, it is 26^8=2 x 10^11<BR>\n" );
document.write( "That ratio is 456976<BR>\n" );
document.write( "time=k*combinations<BR>\n" );
document.write( "6=k*456,976<BR>\n" );
document.write( "k=6/456976=0.00001313\r<BR>\n" );
document.write( "\n" );
document.write( "time for 24= 0.00001313* 2 x 10^11=2,741,899<BR>\n" );
document.write( "That is closest to a month<BR>\n" );
document.write( "30 days*86,40-0 seconds per day=2,592,000<BR>\n" );
document.write( "C </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );