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Master of mathematics
Quite a standard clock problem.

1 minute walk (1/60)*360 degrees =6 hours walk (1/60) * (360/12) =1/2 degrees.

Let uncle go out at 6: 00 and go home at 6: 00.

It is known that the hour hand and the minute hand are 120 degrees.

1. 180+( 1/2)x-6x = 120

Where 180+( 1/2) x is the angle between the hour hand and 12, and 6x is the angle between the minute hand and 12.

The solution is that x = 120/ 1 1 is about 1 1 minute, that is, go out around 6 o'clock, 1 1.

2.6y- 180-( 1/2)y = 120

As mentioned above, y=600/ 1 1 is about 54 minutes, that is, going home around 6: 54: 30.

The time of committing the crime is somewhere in between.