Which Alice?

Solutions to the Puzzles
so he lost 16 tarts by his idleness. Now, each day he is idle means a
loss of 4 tarts (the difference between being given 3 and having to
give 1). Therefore he was idle 4 days and worked 22 days.
Let us check: For the 22 days he worked, he earned 66 tarts. For
the 4 days he was idle, he had to give back 4 tarts, so he received
only 62 tarts.
WHAT TIME WAS IT? A common wrong answer is six o'clock;
the correct answer is five o'clock.
At five o'clock, the first chime of the Queen's clock coincided with
the first chime of the King's clock. The second chime of the Queen's
clock occurred at the same instant as the third chime of the King's
clock. The third chime of the Queen's clock occurred at the fifth
chime of the King's clock. The King's clock had then finished its
chiming, and the Queen's clock had still two more chimes to go.
HOW MANY WERE LOST? Let us call the amount of food one
man eats in one day — let us call this one portion. Then the 9 men
originally had 45 portions of food (enough for 5 days), but on the
second day they had only 36 portions left. Then they met the new
party, and the 36 portions lasted all the men for 3 days. Therefore
there must have been 12 men, so the new party consisted of 3 men.
HOW MUCH WATER WAS SPILLED? On the fifth day, before
the water was spilled, there were eight days of water supply left.
The spilled water would have served the man who died for eight
days, so eight quarts were spilled.
WHEN WILL HE GET OUT OF PRISON? When the gaoler is
twice the prisoner's age, the difference between their ages will be
the prisoner's age. Also, the difference between their ages will be
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