How many times are the hands exactly 30° apart between the morning times on clocks A and B?

A shows 8:00 and B shows 11:00. The hands are $30^{\circ }$ apart twice in a normal hour, so 6 is the first guess. But at 11:00 the hands are already $30^{\circ }$ apart, and that end point is excluded: between 8 and 11 they meet the $30^{\circ }$ gap at about 8:38, 8:49, 9:43, 9:54 and 10:49 — only 5 (10:60 = 11:00 is not inside).