document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1165986>Question 1165986</A>: <I><SPAN STYLE=\"word-break: break-all;\"> its nine o'clock . how long will it be before both hands are pointing in the same direction? </SPAN>\n" );
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document.write( "In 12 hours, the hour hand makes one revolution while the minute hand makes 12.  So the two hands will be pointing in the same direction 11 times in every 12 hours.<br><BR>\n" );
document.write( "Since the rates of the two hands are constant, that means the interval between successive times that the two hands are pointing in the same direction is 12/11 hours.<br><BR>\n" );
document.write( "The two hands are pointing in the same direction at 12:00.<br><BR>\n" );
document.write( "The first time after 9:00 that the two hands are pointing in the same direction is 9(12/11) hours after 12:00.  That is 108/11 hours, or 9 9/11 hours after 12:00, or 9/11 hours after 9:00.<br><BR>\n" );
document.write( "ANSWER: The two hands will be pointing in the same direction 9/11 hours after 9:00.<br><BR>\n" );
document.write( "That is 540/11 minutes, or 49 1/11 minutes, or 49 minutes 5 seconds (to the nearest second) after 9:00.<br><BR>\n" );
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