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What Was The Time?

Unreviewed import — a classic from the public domain; its solution has not been machine-checked yet.

math
"I say, Rackbrane, what is the time?" an acquaintance asked our friend the professor the other day. The answer was certainly curious. "If you add one quarter of the time from noon till now to half the time from now till noon to-morrow, you will get the time exactly." What was the time of day when the professor spoke?

Solution

Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.

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