POTW #19 - May 27, 2024

Contributed by: devourer

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Difficulty: 8

This problem is tagged with potw, potw2024, devourer.

MCR Problem of the Week, May 27, 2024 Edition

devourer owns a clock and a watch, both of which are defective. For every $1$ minute that passed in real time, his clock shows that $61$ seconds have passed. For every $1$ minute that passed on his clock, his watch shows that $59$ seconds have passed. If he calibrates his watch to real time on December 22 at 12:00:00 a.m., what will be the difference between the time on his watch and real time on January 1 at 12:00:00 a.m.?

Answer Submission Note(s)
Express your answer as seconds, add a plus sign before your answer if devourer's watch is ahead of the real time, and a minus sign otherwise.

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