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.

Naming the hands as listed in problem H1, H2, H3
and i will call the truns R
so first case
for H1
1*H1 =3
for h2
2*h2 = 4
for h3
2*h3 = 6

for case 2
h1
2*3h1 = 6r
h2
60*10 = 600 = 150r
h3
11*60 = 660 = 220r

QED
so in both cases we can say u see h1 h2 h3

Posted by sherif on 2004-02-23 18:51:19