document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=852091>Question 852091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When will the two hands of a clock between 10 O'clock and 11 O'clock come in the same line? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #513136 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=513136\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When will the two hands of a clock between 10 O'clock and 11 O'clock come in the same line?<BR>\n" );
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document.write( "Let m = position of the min had based on a 60 min circle<BR>\n" );
document.write( "The hr hand will be between the 50 and 55th min also, determined by the fraction m/60 times 5 minutes.<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2F60 ALIGN=MIDDLE  ALT=\"m%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" >5 + 50<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2F12 ALIGN=MIDDLE  ALT=\"m%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 50<BR>\n" );
document.write( "mult equation by 12 to get rid of the fraction<BR>\n" );
document.write( "12m = m + 600<BR>\n" );
document.write( "11m = 600<BR>\n" );
document.write( "m = 600/11<BR>\n" );
document.write( "m = 54.545 min which is 54 + .545(60) = 54 min 38 seconds<BR>\n" );
document.write( "At 10:54:38 sec the hands will be in line<BR>\n" );
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document.write( "Well that is different, see if we can find that.<BR>\n" );
document.write( "There will be exactly 30 min between the hands<BR>\n" );
document.write( "m + 30 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2F60 ALIGN=MIDDLE  ALT=\"m%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" >5 + 50<BR>\n" );
document.write( "subtract 30 from both sides<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2F12 ALIGN=MIDDLE  ALT=\"m%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 20<BR>\n" );
document.write( "mult equation by 12 to get rid of the fraction<BR>\n" );
document.write( "12m = m + 240<BR>\n" );
document.write( "11m = 240<BR>\n" );
document.write( "m = 240/11<BR>\n" );
document.write( "m = 21.82 min which is 21 + .82(60) = 21 min 49 seconds<BR>\n" );
document.write( "At 10:21:49 sec the hands will be in line\r<BR>\n" );
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