When you go shopping at six o'clock, the angle between the hour hand and the minute hand on the watch is 1 10 degrees, which is regarded as the minute hand behind the hour hand 1 10 degrees.

Every minute, the minute hand goes 6 and the hour hand goes 0.5.

When I came home at seven o'clock in the afternoon, I found that the angle between the hour hand and the minute hand was sometimes 1 10 degrees.

The minute hand passed the hour hand by 1 10.

Then the minute hand moves more than the hour hand110+110 = 220.

The minute hand moves 6-0.5 = 5.5 more than the hour hand every minute.

220÷5.5=40 minutes

So this guy goes out for 40 minutes.