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Subj:.....The Crazy Clock Of Zurich (S622)
          From the book 
           "Mathematical Puzzles of Sam Loyd" 
            Edited by Martin Gardner 
            From: Dover Publications in 1959

When will the clock next show the correct time?
 

Swiss tourists will recognize in the accompaning sketch a
deserted church at a lonely spot near the outskirts of Zurich,
and recall the weird story of its bewitched clock.  Omitting
the supernatural and mysterious features of the story, by which
the tourist is regaled with many versions, it may be briefly
stated that the church was built about the middle of the fif-
teenth century.  It was furnished with a clock by the oldest
citizen of the place, a man named Jorgensen, reputed to be the
founder of the manufacture of clocks, for which the place has
become noted.

The clock was started at six o'clock in the morning, accom-
panied by the display of ceremony with which any event of
slightest importance is always inaugurated by the Swiss.  Un-
fortunately, the hands of the clock had been mounted on the
wrong pinions.  The hour hand started off while the minute
hand revolved twelve times slower, with what the peasants
termed the "dignity of the hour hand."

After the strange antics of the bewitched timepiece had been
explained to the aged and infirm clockmaker, he insisted on
being carried in his bed to witness the strange phenomenon.
Due to an astonishing coincidence, when he arrived, the time
as indicated by the clock was perfectly correct.  This had such
an effect on the old man that he actually died of joy.  The clock,
however, continued its strange antics and was looked upon as
bewitched.  No one was bold enough to repair or even wind it,
so its works have rusted to pieces, and all that remains is the
curious problem which I now propose.

If the clock was started at six o'clock, as shown in the pic-
ture, with the hour hand moving twelve times faster than the
other as explained, when will the hands first reach a point
which will indicate the correct time?

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