Explanation

In a correct clock the hands coincide every 720/11 = 65 5/11 minutes, when the minute hand laps the hour hand by 60 minute-spaces. Here the clock records only 65 minutes per lapping, so 65 clock-minutes = 65 5/11 true minutes — the clock is slow. In 12 clock-hours (720 clock-minutes) the true elapsed time is 720 x (720/11)/65 = 720 x 720/715 minutes, about 12 h 5 min. Hence when the clock shows 8:00 PM, the actual time is approximately 8:05 PM.