document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166873>Question 166873</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A family is moving and has a number of electronic devices in the same packing crate.  One of the devices beepes every 8 minutes, another beeps every 10 minutes and a third beeps every 12 minutes.  If all the devices beeped together at 3pm, what time will it be when the all beep together again? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122933 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=122933\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We determine the LCM for the three beep rates and that's when they will beep together. The LCM for 8, 10 & 12 min is 120 min or two hours.  They beep together every two hours or at 5:00pm\r<BR>\n" );
document.write( "\n" );
document.write( "CK<BR>\n" );
document.write( "The 8 min beeper, beeps 15 times in 2 hours<BR>\n" );
document.write( "@3:08-16-24-32-40-48-56-4:04-12-20-28-36-44-52-5:00<BR>\n" );
document.write( "The 10 min beeper beeps 12 times in 2 hours<BR>\n" );
document.write( "@3:10-20-30-40-50-4:00-10-20-30-40-50-5:00<BR>\n" );
document.write( "The 12 min beeper beeps 10 times in 2 hours<BR>\n" );
document.write( "@3:12-24-36-48-4:00-12-24-36-48-5:00\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps---ptaylor </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );