Rhea starts a phone call at the time on the clock. After this, at what time will the two hands FIRST be exactly 35° apart, as in the angle drawn on the right?

At 8:00 the minute hand is $240^{\circ }$ behind the hour hand (clockwise) and gains $5.5^{\circ }$ per minute. The gap is first $35^{\circ }$ when it has gained $240-35=205^{\circ }:\frac{205}{5.5}=37\frac{3}{11}$ min past 8. (50 min is the second time, when the minute hand is $35^{\circ }$ ahead; $15\frac{5}{11}$ wrongly starts from the $120^{\circ }$ gap.)