There are eleven
different times in twelve
hours when the hour and minute hands of a clock are exactly one above
If we divide 12 hours
by 11 we get 1 hr. 5 min. 273/11
sec., and this is the time after twelve o'clock when they are first
together, and also the time that elapses between one occasion of the
hands being together and the next.
They are together for the second
time at 2 hr. 10 min. 546/11
sec. (twice the above time); next at 3 hr. 16 min. 219/11
sec.; next at 4 hr. 21 min. 491/11
This last is the only occasion on which the two hands are together
with the second hand "just past the forty-ninth second."
This, then, is
the time at which the watch must have stopped.
Guy Boothby, in the
opening sentence of his Across
the World for a Wife,
says, "It was a cold, dreary winter's afternoon, and by the time the
hands of the clock on my mantelpiece joined forces and stood at twenty
minutes past four, my chambers were well-nigh as dark as midnight."
is evident that the author here made a slip, for, as we have seen
above, he is 1 min. 491/11
sec. out in his reckoning.