SOLUTIONS
32.—
The Game of Bandy-Ball.
Sir Hugh explained, in answer to this puzzle, that as the nine
holes were 300, 250, 200, 325, 275, 350, 225, 375, and 400 yards
apart, if a man could always strike the ball in a perfectly straight line
and send it at will a distance of either 125 yards or 100 yards, he
might go round the whole course in 26 strokes. This is clearly
correct, for if we call the 125 stroke the "drive" and the 100stroke
the " approach," he could play as follows :—The first hole could be
reached in 3 approaches, the second in 2 drives, the third in 2
approaches, the fourth in 2 approaches and 1 drive, the fifth in 3
drives and 1 backward approach, the sixth in 2 drives and 1 approach,
the seventh in 1 drive and 1 approach, the eighth in 3 drives, and
the ninth hole in 4 approaches. There are thus 26 strokes in all,
and the feat cannot be performed in fewer.
33.—
Tilting at the Ring.
"By my halidame !" exclaimed Sir Hugh, "if some of yon
varlets had been put in chains, which for their sins they do truly de-
serve, then would
they well know,
mayhap, that the
length of any chain
having like rings is
equal to the inner
width of a ring
multiplied by the number of rings and added to twice the thickness of
the iron whereof it is made. It may be shown that the inner width of
the rings used in the tilting was one inch and two-thirds thereof, and
the number of rings Stephen Malet did win was three, and those
that fell to Henry de Gournay would be nine."
The knight was quite correct, for If in. x 3 + I in. = 6 in.,
and 1 f in. x 9 + 1 in. = 16 in. Thus De Gournay beat Malet
by six rings. The drawing showing the rings may assist the reader
in verifying the answer and help him to see why the inner width of
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