Which Alice?

The Gryphon and the Mock Turtle
This explanation did not quite satisfy Alice.
"Suppose we changes the subject," said the Gryphon, "we've
talked enough about tarts! Here, let me tell you a good puzzle about
the Royal clocks."
WHAT TIME WAS IT? "What is the puzzle about the Royal
clocks?" asked Alice.
"Well, you see, the King of Hearts has his clock, and the Queen of
Hearts has hers. They both chime on the hour. The King's clock
chimes faster than the Queen's—in fact, the King's clock makes
three chimes in the same time that the Queen's clock makes two.
One day, at a certain hour, the two clocks started chiming at the
same time. After the King's clock finished chiming, the Queen's
clock made two more chimes. At what time did this occur?"
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