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Mathematics, 18.08.2019 12:30 boemeh459

Atraveller found himself in a strange country where the temperature rose sharply during the day and then fell again at night and made his watch act erratically. he noticed that his watch was 30 seconds fast at nightfall but at dawn it had lost 20 seconds. on the morning of may 1st the watch showed the right time.
by which date was it five minutes fast?

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