A clock fixed on a wall shows time 04:25:37. What time will its image in a plane mirror hanging on an opposite vertical wall show?

Options

A. `07:43:32`
B. `07:43:32`
C. `07:34:23`
D. `43:27:36`

Answer

To find out what time the image of a clock showing 04:25:37 will display in a plane mirror, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Clock's Position**:
The clock shows the time as 04:25:37, which means it is 4 hours, 25 minutes, and 37 seconds past midnight.

2. **Determine the Reference Time**:
In a mirror, the image of the clock will be inverted. To find the inverted time, we can use a reference time of 6:00:00 (6 o'clock). This is because the clock's face can be thought of as a circle where 12 o'clock is at the top and 6 o'clock is at the bottom.

3. **Calculate the Time Remaining to 6:00:00**:
We need to calculate how much time is left from 04:25:37 to 06:00:00.
- From 04:25:37 to 05:00:00 is 34 minutes and 23 seconds.
- From 05:00:00 to 06:00:00 is 1 hour.
- Therefore, the total time from 04:25:37 to 06:00:00 is:
- 1 hour + 34 minutes + 23 seconds = 1 hour, 34 minutes, and 23 seconds.

4. **Add the Remaining Time to 6:00:00**:
Now, we add the remaining time to 6:00:00 to find the time displayed in the mirror:
- 6:00:00 + 1:34:23 = 7:34:23.

5. **Final Result**:
Thus, the time shown by the image of the clock in the mirror will be 07:34:23.

### Final Answer:
The image of the clock in the mirror will show 07:34:23.

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