Questions: She started the movie at 10:47 p.m. It was 2 hours and 40 minutes long. When did the movie end?

She started the movie at 10:47 p.m. It was 2 hours and 40 minutes long. When did the movie end?
Transcript text: She started the movie at $10: 47$ p.m. It was 2 hours and 40 minutes long. When did the movie end?
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Solution

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Solution Steps

Step 1: Convert the start time to minutes

Convert the start time \(10:47\) p.m. to total minutes since midnight.

  • Hours: \(10\) hours \(\times 60 = 600\) minutes.
  • Minutes: \(47\) minutes.
  • Total: \(600 + 47 = 647\) minutes.
Step 2: Add the movie duration

Add the movie duration of \(2\) hours and \(40\) minutes to the start time.

  • Hours: \(2\) hours \(\times 60 = 120\) minutes.
  • Minutes: \(40\) minutes.
  • Total duration: \(120 + 40 = 160\) minutes.
  • Total end time in minutes: \(647 + 160 = 807\) minutes.
Step 3: Convert the total minutes back to hours and minutes

Convert \(807\) minutes back to hours and minutes.

  • Hours: \(807 \div 60 = 13\) hours and \(27\) minutes.
  • Since \(13\) hours is equivalent to \(1\) a.m. (as \(12\) hours is midnight), the end time is \(1:27\) a.m.

Final Answer

\(\boxed{1:27 \text{ a.m.}}\)

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