I have a very strange clock. At first glance, it looks like a normal clock with three hands and the numbers 1 through 12 all around. The only differences are that the hands are indistinguishable from each other and they are faster. One hand completes a circle in 3 minutes, another in 4 minutes, and the last in 6 minutes. They all go clockwise.
One morning, when I looked at the clock, the hands were all pointing exactly at the numbers 1, 2, and 3.
Later that day, I saw that the three hands were pointing exactly at 6, 10, and 11.
Can you identify which hands I saw each time? Prove it.
3 minute/cycle hand starts at 2
4 minute/cycle hand starts at 3
6 minute/cycle hand starts at 1
the total time is 5 minutes
the 3 minute/cycle hand moves 4 "hours" every minute...starting at 2 and moving for 5 minutes, it ends up at 10
the 4 minute/cycle hand moves 3 "hours" every minute...starting at 3 and moving for 5 minutes, it ends up at 6
the 6 minute/cycle hand moves 2 "hours" every minute...starting at 1 and moving for 5 minutes, it ends up at 11

Posted by John
on 20040224 23:59:07 