THE CANTERBURY PUZZLES

in one piece. The puzzle was to tell from the fixed relative

positions of the three hands the exact time when the pistol was

fired.

We were clearly told, and the illustration of the clock face bore

out the statement, that the hour and minute hands were exactly

twenty divisions apart, " the third of the circumference of the dial."

Now, there are eleven times in twelve hours when the hour hand

is exactly twenty divisions ahead of the minute hand, and eleven

times when the minute hand is exactly twenty divisions ahead of

the hour hand. The illustration showed that we had only to

consider the former case. If we start at four o'clock, and keep on

adding Ih. 5m. 27 3-1 Isec, we shall get all these eleven times, the

last being 2h. 54min. 32 8-1 Isec. Another addition brings us back

to four o'clock. If we now examine the clock face, we shall find

that the seconds hand is nearly twenty-two divisions behind the

minute hand, and if we look at all our eleven times, we shall find that

only in the last case given above is the seconds hand at this distance.

Therefore, the shot must have been fired at 2h. 54min. 32 8-1 Isec.

exactly, or, put the other way, at 5min. 27 3-1 Isec. to three o'clock.

This is the correct and only possible answer to the puzzle.

113.—Cutting a Wood Block.

Though the cubic contents are sufficient for twenty-five pieces,

only twenty-four can actually be cut from the block. First reduce

the length of the block by half an inch. The smaller piece cut off

constitutes the portion that cannot be used. Cut the larger piece

into three slabs, each one and a quarter inch thick, and it will be

found that eight blocks may easily be cut out of each slab without

any further waste.

114.—The Tramps and the Biscuits.

The smallest number of biscuits must have been 1021, from

which it is evident that they were of that miniature description that

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