The clock that runs fast

A faulty clock gains 4 minutes every real hour but is otherwise steady. It is set to the correct time at 12:00 noon. Later, when the faulty clock's face reads 6:00 PM, what is the true time? Give your answer as the number of real minutes elapsed since noon (to one decimal).

Show hints (2)+
  1. The 4-minute gain is per REAL hour, so the face advances 64 minutes for every 60 real minutes.
  2. The 6-hour face reading is fast time — convert it back to real time with the ratio 60/64, don't just subtract a flat gain.

Answer

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337.5

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Asked at: Optiver, SIG

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