To solve the question of what time it will be in three-quarters of an hour (or 45 minutes) starting from 9:15 PM, follow these steps:
1. Understand the initial time:
The given initial time is 9:15 PM.
2. Determine the time interval:
Three-quarters of an hour is equivalent to [tex]\( \frac{3}{4} \)[/tex] hour, which is 45 minutes.
3. Add the time interval to the initial time:
Starting from 9:15 PM, we need to add 45 minutes.
- Adding 15 minutes to 9:15 PM results in 9:30 PM.
- Adding the remaining 30 minutes to 9:30 PM results in 10:00 PM.
4. Confirming the new time:
After adding the 45 minutes to the initial time of 9:15 PM, the new time is 10:00 PM.
Thus, the time will be 10:00 PM after adding [tex]\(\frac{3}{4}\)[/tex] hour to 9:15 PM.
