Certainly! Let's go through the steps to determine the duration of the film.
1. Understanding the time format:
- The film started at 9:45 p.m.
- The film ended at 11:10 p.m.
2. Convert the start and end times to the number of minutes past midnight:
- For the start time, 9:45 p.m.:
- The hour part is 9 hours.
- The minute part is 45 minutes.
- To convert 9 hours into minutes: [tex]\( 9 \times 60 = 540 \)[/tex] minutes.
- Adding the minutes part: [tex]\( 540 + 45 = 585 \)[/tex] minutes.
- For the end time, 11:10 p.m.:
- The hour part is 11 hours.
- The minute part is 10 minutes.
- To convert 11 hours into minutes: [tex]\( 11 \times 60 = 660 \)[/tex] minutes.
- Adding the minutes part: [tex]\( 660 + 10 = 670 \)[/tex] minutes.
3. Calculate the duration in minutes:
- Subtract the start time in minutes from the end time in minutes:
- [tex]\( 670 - 585 = 85 \)[/tex] minutes.
4. Convert the duration back to hours and minutes:
- To find out how many full hours are in 85 minutes:
- Divide by 60: [tex]\( \frac{85}{60} = 1 \)[/tex] hour (since there are 60 minutes in an hour).
- To find the remaining minutes:
- The remainder after dividing 85 by 60 is 25 minutes.
Thus, the film played for a total of 1 hour and 25 minutes.
