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Problem 399

AMC 12 late, AIME early

Number theory Difficulty 4.8 Find the answer

It is now 1:00 a.m. What time will it be 2023 minutes from now?

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Official solution

Note that $2023=33 \times 60+43$ , and since there are 60 minutes in an hour, this means that 2023 minutes is equal to 33 hours and 43 minutes.

For 33 hours and 43 minutes to pass, 24 hours will pass and then 9 hours and 43 minutes will pass.

In 24 hours it will be 1:00 a.m. again.

In 9 hours and 43 minutes after 1:00 a.m., it will be 10:43 a.m.

ANSWER: 10:43 a.m.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.