He fasted along with the people of the city for thirty-one days, and during that time he travelled for one day, when he did not fast because of travelling; does he have to make up that day?

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Check below answers in case you are looking for other related questions:
Ruling on eating after the adhaan for Fajr because of uncertainty as to whether the timing of the adhaan is correct
When should the fasting person break his fast?

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Is it permissible to break the fast before hearing the adhaan?
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Ruling on eating after the adhaan for Fajr because of uncertainty as to whether the timing of the adhaan is correct
When should the fasting person break his fast?

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