# Wrong clocks

From Math Puzzle Wiki

Saw this one on Professor Layton 2.

## Puzzle

To analogue clocks hang side by side on a wall. One of the clocks is slightly fast, the other slightly slow. One day at noon, you set both clocks correctly. After one hour you notice that the fast clock displays 1:01 and the slow clock reports the time as 12:59. Assuming the clocks continue to be fast and slow at the same rate, how long before both clocks agree on the time again?

## Help

**Hint**

When will the fast clock be one hour ahead? What will the slow clock display then?

**Answer**

It will take 360 hours (15 days) for the clocks to display the same time as each other again.

**Solution**

{{{1}}}

## References

Professor Layton and the Diabolical Box - sequel to the Curious Village. Another great Nintendo DS puzzle game.