document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1007804>Question 1007804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> After Exactly 12o'clock in the noon, what time will the hands of a clock be together again ? <BR>\n" );
document.write( "Complete Solution needed as soon as possible . <BR>\n" );
document.write( "Best Regards . . . Ajwad<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #623650 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=623650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well, this one involves an infinite series that is to be added...<BR>\n" );
document.write( "When the minute hand travels 60 minutes, the hour hand travels 5 minutes.<BR>\n" );
document.write( "When the minute hand travels 5 minutes, the hour hand travels (1/12)(5) minutes.<BR>\n" );
document.write( "When the minute hand travels (1/12)(5) minutes, the hour hand travels (1/144)(5) minutes.<BR>\n" );
document.write( "When the minute hand travels (1/144)(5) minutes, the hour hand travels (1/1728)(5) minutes...and so on...\r<BR>\n" );
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document.write( "Thus we can add up the travels of the hour hand as an infinite series,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+a1+%2F+%281+-+r%29 ALIGN=MIDDLE  ALT=\"S+=+a1+%2F+%281+-+r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where a1 = 5 and r = 1/12 and we get<BR>\n" );
document.write( "S = 5 / (1 - 1/12) = 5 / (11/12) = 60/11 minutes or 5 5/11 minutes past 1 o'clock. </SPAN>\n" );
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