The story goes that when the Swiss did not yet have much experience with making clocks, a painful mistake was made with a church clock. The clock was officially put into use when it showed 6 o'clock. Soon, it was noticed that the hour hand and minute hand had been interchanged and attached to the wrong axes. As a result, the hour hand moved at a speed twelve times faster than the minute hand. When the clockmaker arrived, a remarkable thing happened: on the moment he inspected the clock, it showed the correct time again.

The question: If the clock started at 6 o'clock in the correct position, what was the first moment it showed the correct time again?

A hint : Click here!

The solution: Click here!