I remember when digital watches first became affordable in the early 1980s. My dad grumbled that it wouldn't be long before kids wouldn't have to learn to tell time, and that day may come sooner than he imagined.

Over a single 24-hour day, how
many times do an analog clock's
hour and minute hands point
to the exact same spot?

HERE is the solution.

THE ANSWER:

22 times.

The hands will point to the same spot at (both AM and PM):  12:00, ~1:05, ~2:10, ~3:16, ~4:21, ~5:27, ~6:32, ~7:38, ~8:43, ~9:49, ~10:54.