Xiaohong often goes out for a walk at 6 in the evening. She sees that the angle between the hour hand and the minute hand of her watch is 110 degrees. She walks home before 7 o'clock and finds that the angle between the hour hand and the minute hand of her watch is still 110 degrees. How long did Xiaohong take a walk?

Xiaohong often goes out for a walk at 6 in the evening. She sees that the angle between the hour hand and the minute hand of her watch is 110 degrees. She walks home before 7 o'clock and finds that the angle between the hour hand and the minute hand of her watch is still 110 degrees. How long did Xiaohong take a walk?

Suppose it starts at 6 o'clock
x*30/60-6x+180=110
x=140/11
Set it back to 7 o'clock y-difference
180-6y-30+y*30/60=110
y=80/11
That is 580 / 11 points above 6:00
The walk took 580 / 11-140 / 11 = 40 (minutes)