Well, the minute hand turns less than 1 turn, so the actual angle of the watch for the second time should be 360-10 = 250 degrees, and we usually regard it as an angle less than 180 degrees from the other direction, so it is still1/kloc.

The minute hand speed is 12 times that of the hour hand. If the angular velocity of the hour hand is 30 degrees per hour, the angular velocity of the minute hand is 360 degrees per hour.

Then 360× t-30× t = 250.

T = 25/33 hours