Answer :

We start with the movie beginning at [tex]$14:45$[/tex] (which means 14 hours and 45 minutes) and a duration of [tex]$2$[/tex] hours and [tex]$15$[/tex] minutes.

1. First, add the minutes from the start time and the duration:
[tex]$$45 + 15 = 60 \text{ minutes}.$$[/tex]
Since [tex]$60$[/tex] minutes is exactly [tex]$1$[/tex] hour, we have an extra hour.

2. Now, add the hours:
- Start hour: [tex]$14$[/tex]
- Duration hours: [tex]$2$[/tex]
- Extra hour (from adding minutes): [tex]$1$[/tex]

Therefore:
[tex]$$14 + 2 + 1 = 17 \text{ hours}.$$[/tex]

3. Since the minutes summed to a full hour, the remaining minutes are [tex]$00$[/tex].

Thus, the movie will end at:
[tex]$$17:00.$$[/tex]

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