Movie Mania

Number Theory Level pending

Cara really wants to stay up as late as possible and watch a movie. Cara is only allowed to stay up until 12:25 am. The movie that Cara wants to watch is 163 mins. What is the latest possible time that Cara should start the movie?

Enter your answer as "hourminute"

Ex. if the time was 6:15, enter it as "615"


The answer is 942.

Rhea Kavuru by Rhea Kavuru , 14, USA

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1 solution

Yajat Shamji
Jul 15, 2020

163 163 minutes = 2 h 43 m = 2h 43m

12 : 25 − 2 : 00 → 10 : 25 12:25 - 2:00 \rightarrow 10:25

10 : 25 − 0 : 25 → 10 : 00 10:25 - 0:25 \rightarrow 10:00

10 : 00 − 0 : 10 → 9 : 50 10:00 - 0:10 \rightarrow 9:50

9 : 50 − 0 : 08 → 9 : 42 9:50 - 0:08 \rightarrow 9:42

Since the answer is given is requested to be in the form 'hourminute', 9 : 42 = 942 9:42 = \fbox{942} .

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