Clock Angle

Geometry Level 4

When I left my home between 6:00 and 7:00, the hour and minute hands of my analog clock formed a \(110^{\circ}\) angle. When I returned home, the hour and minute hands of the clock also formed a \(110^{\circ}\) angle. If I left my home for more than five minutes and returned home before 7:00, how many minutes was I away from my home?