Henry Ernest Dudeney/Puzzles and Curious Problems/58 - When did the Dancing Begin

Puzzles and Curious Problems by Henry Ernest Dudeney: $58$

When did the Dancing Begin?

"The guests at that ball the other night," said Dora at the breakfast-table,

"thought that the clock had stopped,

because the hands appeared in exactly the same position as when the dancing began.

But it was found that they had really only changed places.

As you know, the dancing commenced between ten and eleven o'clock.

What was the exact time of the start?"

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Clock Puzzles: $58$. -- When did the Dancing Begin?
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Clock Puzzles: $50$. When did the Dancing Begin?