Henry Ernest Dudeney/Modern Puzzles/Arithmetical and Algebraical Problems/Clock Puzzles
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Henry Ernest Dudeney: Modern Puzzles: Arithmetical and Algebraical Problems
$25$ - A Dreamland Clock
- In a dream, I was travelling in a country where they had strange ways of doing things.
- One little incident was fresh in my memory when I awakened.
- I saw a clock and announced the time as it appeared to be indicated.
- but my guide corrected me.
- He said, "You are apparently not aware that the minute hand always moves in the opposite direction to the hour hand.
- Except for this improvement, our clocks are precisely the same as those you have been accustomed to."
- Now, as the hands were exactly together between the hours of $4$ and $5$ o'clock,
- and they started together at noon,
- what was the real time?
$26$ - 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?
$27$ - The First-Born's Legacy
- Mrs. Goodheart gave birth to twins.
- The clock showed clearly that Tommy was born about an hour later than Freddy.
- Mr. Goodheart, who died a few months earlier, had made a will leaving $\pounds 8400$,
- and had taken the precaution to provide for the possibility of there being twins.
- In such a case the money was to be divided in the following proportions:
- two-thirds to the widow,
- one-fifth to the first-born,
- one-tenth to the other twin,
- and one-twelfth to his brother.
- Now, what is the exact amount that should be settled on Freddy?