Answer :
To determine the time in a mirror reflection when the actual time on the clock is 11 hours and 55 minutes, you can follow these steps:
1. Understand Mirror Reflection: In a mirror, the clock appears flipped horizontally. This means that if a clock shows 12:00, its reflection will look like 12:00, but for other times, you'll need to calculate how the numbers are reversed over the central line (which passes through 6:00 and 12:00).
2. Calculate the Mirror Time:
- The simplest way to determine the time is to think of it as finding how far the time is from 12:00 (the mirrored starting point).
- Start by considering a full 12-hour cycle (which is 720 minutes from 12:00).
3. Find Out How Much Past 12:00 the Original Time Is:
- Convert the actual time (11 hours and 55 minutes) into minutes:
- 11 hours = 11 × 60 = 660 minutes.
- Add 55 minutes to 660 minutes for a total of 715 minutes past midnight.
4. Calculate the Mirror Time:
- Subtract these 715 minutes from 720 minutes to see how much time remains to reach the mirror point.
- 720 minutes - 715 minutes = 5 minutes.
- So, the mirror reflection is 5 minutes past 12:00.
5. Final Mirror Time:
- Since the mirror reflection is calculated to be 5 minutes past 12:00, the mirror image of the time 11:55 will be 12:05.
Therefore, the time in its mirror reflection is 12:05, and the correct answer is option (3) [tex]$12: 05$[/tex].
1. Understand Mirror Reflection: In a mirror, the clock appears flipped horizontally. This means that if a clock shows 12:00, its reflection will look like 12:00, but for other times, you'll need to calculate how the numbers are reversed over the central line (which passes through 6:00 and 12:00).
2. Calculate the Mirror Time:
- The simplest way to determine the time is to think of it as finding how far the time is from 12:00 (the mirrored starting point).
- Start by considering a full 12-hour cycle (which is 720 minutes from 12:00).
3. Find Out How Much Past 12:00 the Original Time Is:
- Convert the actual time (11 hours and 55 minutes) into minutes:
- 11 hours = 11 × 60 = 660 minutes.
- Add 55 minutes to 660 minutes for a total of 715 minutes past midnight.
4. Calculate the Mirror Time:
- Subtract these 715 minutes from 720 minutes to see how much time remains to reach the mirror point.
- 720 minutes - 715 minutes = 5 minutes.
- So, the mirror reflection is 5 minutes past 12:00.
5. Final Mirror Time:
- Since the mirror reflection is calculated to be 5 minutes past 12:00, the mirror image of the time 11:55 will be 12:05.
Therefore, the time in its mirror reflection is 12:05, and the correct answer is option (3) [tex]$12: 05$[/tex].
