Problem of the Week 1/13/2010
Post by OmnipotentEntity
Courtesy of eofpi.
On a 12-hour analog clock with the hands in continuous motion, how many times do the minute and hour hands form a 180° angle in a 24-hour midnight-to-midnight period?
Answer: 22
On a 12-hour analog clock with the hands in continuous motion, how many times do the minute and hour hands form a 180° angle in a 24-hour midnight-to-midnight period?
Answer: 22
Tags: potw, problem of the week
Comment by HK-47 on 9 Cado 4:1 - 12.59.35
22
Comment by icu on 9 Cado 4:4 - 4.62.66
HK-47 (that used to be my screename on runescape interestingly enough) the answer is in the problem's post please don't spoil it for everyone.
Comment by gws on 9 Cado 5:1 - 14.16.34
My initial thought was that the crossings would be given by the number of times the minute hand goes around, less one because the hour hand is 'chasing' with one revolution of its own. That would make eleven crossings. Are .... oh. I just paid better attention to the question where it asks about a 24-hour period. Heh.
Comment by NITENDRA1 on 10 Cresco 6:5 - 3.91.44
10 times see yourself
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