1. **Problem statement:** Joe sees the time 9:25 in a mirror reflection of a clock. We need to find the actual time on the clock. 2. **Understanding the mirror clock problem:** When a clock is viewed in a mirror, the time appears reversed. The mirror image of the clock shows the hands flipped horizontally. 3. **Formula for mirror time:** The actual time can be found by subtracting the reflected time from 12:00. 4. **Calculation:** - Reflected time is 9:25. - Convert 12:00 to minutes: $12 \times 60 = 720$ minutes. - Convert reflected time to minutes: $9 \times 60 + 25 = 565$ minutes. - Actual time in minutes: $720 - 565 = 155$ minutes. 5. **Convert back to hours and minutes:** - Hours: $\lfloor 155 / 60 \rfloor = 2$ hours. - Minutes: $155 \mod 60 = 35$ minutes. 6. **Answer:** The actual time on the clock is **2:35**.