Starting from the hour shown, at what time will the minute hand be exactly as far to the left of the 12–6 line as the hour hand is to its right?

Measured clockwise from 12, the hour hand is at 90 + m/2 and the minute hand at 6m. Equal distances on either side of 12 means 6m = 360 − (90 + m/2), so 6.5m = 270, m = 540/13 = 41 7/13. (45 min forgets the hour hand moves; 16 4/11 min is when they overlap.)