Question 1197924
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The normal speed of the hour hand is 360 degrees in 12 hours, or 30 degrees per hour, or 1/2 degree per minute.  So the speed of the hour hand of this clock starting at noon is 12*(1/2) = 6 degrees per minute.<br>
The normal speed of the minute hand is 360 degrees in 1 hours, or 6 degrees per minute, so the speed of the minute hand of this clock starting at noon is 12 degrees per minute.<br>
Since the hands are moving in opposite directions starting at noon, they are moving towards each other at the rate of 6+12 = 18 degrees per minute.<br>
The hands will coincide when they have moved towards each other a total of 360 degrees; at 18 degrees per minute, that will take 360/18 = 20 minutes.<br>
So the two hands will coincide 20 minutes after noon, at 12:20 pm.<br>
ANSWER: 12:20 pm<br>