document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117661>Question 1117661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation:\r<BR>\n" );
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document.write( "The hour and minute of a watch are exactly together between 8 and 9 o'clock; required the time\r<BR>\n" );
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document.write( "I don't understand how to work this problem. I can't show my work because I wasn't able to work the problem at all.\r<BR>\n" );
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document.write( "I appreciate any help you can offer! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #732806 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=732806\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The responses from the other tutors show a perfectly good algebraic solution to your problem.<br><BR>\n" );
document.write( "Here is another solution method that I like to use for this kind of problem.<br><BR>\n" );
document.write( "The hour hand makes 1 revolution every 12 hours; the minute hand makes 12 revolutions every 12 hours.<br><BR>\n" );
document.write( "So there are 11 times in every 12-hour period when the hour and minute hands are pointing in the same direction.<br><BR>\n" );
document.write( "Since both hands move at constant rates, the times when the hands are pointing in the same direction will be separated by 12/11 hours.<br><BR>\n" );
document.write( "The two hands are pointing in the same direction at 12 o'clock.<br><BR>\n" );
document.write( "The time between 8 and 9 o'clock when the hands are pointing in the same direction is 8*(12/11) hours after 12 o'clock.<br><BR>\n" );
document.write( "8*(12/11) hours = 8  and 8/11 hours<BR>\n" );
document.write( "8/11 hours = 480/11 minutes = 43 7/11 minutes<BR>\n" );
document.write( "7/11 minutes = 420/11 seconds = 38 2/11 seconds<br><BR>\n" );
document.write( "The two hands are pointing in the same direction at 8:43:38 2/11 </SPAN>\n" );
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