World Wars.ca - Stories about World War I / II. Visit World Wars.caInformational Site Network Informational
Privacy
Home Top Rated Puzzles Most Viewed Puzzles All Puzzle Questions Random Puzzle Question Search


THE THREE CLOCKS.

(Money Puzzles)
On Friday, April 1, 1898, three new clocks were all set going precisely
at the same time--twelve noon. At noon on the following day it was found
that clock A had kept perfect time, that clock B had gained exactly one
minute, and that clock C had lost exactly one minute. Now, supposing
that the clocks B and C had not been regulated, but all three allowed to
go on as they had begun, and that they maintained the same rates of
progress without stopping, on what date and at what time of day would
all three pairs of hands again point at the same moment at twelve
o'clock?


Answer:

As a mere arithmetical problem this question presents no difficulty. In
order that the hands shall all point to twelve o'clock at the same time,
it is necessary that B shall gain at least twelve hours and that C shall
lose twelve hours. As B gains a minute in a day of twenty-four hours,
and C loses a minute in precisely the same time, it is evident that one
will have gained 720 minutes (just twelve hours) in 720 days, and the
other will have lost 720 minutes in 720 days. Clock A keeping perfect
time, all three clocks must indicate twelve o'clock simultaneously at
noon on the 720th day from April 1, 1898. What day of the month will
that be?
I published this little puzzle in 1898 to see how many people were aware
of the fact that 1900 would not be a leap year. It was surprising how
many were then ignorant on the point. Every year that can be divided by
four without a remainder is bissextile or leap year, with the exception
that one leap year is cut off in the century. 1800 was not a leap year,
nor was 1900. On the other hand, however, to make the calendar more
nearly agree with the sun's course, every fourth hundred year is still
considered bissextile. Consequently, 2000, 2400, 2800, 3200, etc., will
all be leap years. May my readers live to see them. We therefore find
that 720 days from noon of April 1, 1898, brings us to noon of March 22,
1900.










Random Questions

The Six Pawns.
The Guarded Chessboard
The Union Jack.
Unicursal and Route Problems
Painting A Pyramid.
Combination and Group Problems
The Sailor's Puzzle.
Unicursal and Route Problems
A New Bishop's Puzzle.
The Guarded Chessboard
The Mystery Of Ravensdene Park
Adventures of the Puzzle Club
The Merchant's Puzzle
CANTERBURY PUZZLES
The Four Elopements.
Measuring, Weight, and Packing Puzzles.
The Spanish Miser.
Money Puzzles
Sir Edwyn De Tudor.
Money Puzzles
Counter Solitaire.
The Guarded Chessboard
The Eccentric Market-woman
MISCELLANEOUS PUZZLES
The Puzzling Money-boxes.
Money Puzzles
Mixing The Tea.
Measuring, Weight, and Packing Puzzles.
The Rookery.
The Guarded Chessboard