A Fifty Follower Question
Jacob’s analog clock has 12 equally spaced tick marks on the perimeter, but all the digits have been
erased, so he doesn’t know which tick mark corresponds to which hour. Jacob takes an arbitrary tick
mark and measures clockwise to the hour hand and minute hand. He measures that the minute hand
is 300 degrees clockwise of the tick mark, and that the hour hand is 70 degrees clockwise of the same
tick mark. If it is currently morning, how many minutes past midnight is it?
The answer is 500.
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