Henry Ernest Dudeney/Modern Puzzles/26 - What is the Time

Modern Puzzles by Henry Ernest Dudeney: $26$

What is the Time?

At what time are the two hands of a clock so situated that,

reckoning as minute points past $\textit {XII}$,

one is exactly the square of the distance of the other?

Sources

• 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Arithmetical and Algebraical Problems: Clock Puzzles: $26$. -- What is the Time?
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Clock Puzzles: $47$. What is the Time?