Clock Problem (Time When the Hour and Minute Hands Overlap)

Angle moved by the minute hand in 1 minute: 360/60 = 6°
Angle moved by the hour hand in 1 minute: 360/(12*60) = 0.5°

Angle gained by the minute hand on the hour hand in 1 minute: 6-0.5 = 5.5°

Angle between the hour and minute hands at 1 o’clock: 30°
Angle between the hour and minute hands at 2 o’clock: 60°
Angle between the hour and minute hands at 3 o’clock: 90°
Angle between the hour and minute hands at 4 o’clock: 120°
Angle between the hour and minute hands at 5 o’clock: 150°
Angle between the hour and minute hands at 6 o’clock: 180°
Angle between the hour and minute hands at 7 o’clock: 210°
Angle between the hour and minute hands at 8 o’clock: 240°
Angle between the hour and minute hands at 9 o’clock: 270°
Angle between the hour and minute hands at 10 o’clock: 300°

Example: overlap between 1 and 2 o’clock
1 hour (30/5.5) minutes = 1 hour (60/11) minutes