A clock is started at 11 a.m. By 600 seconds past 6 p.m, the hour hand has turned through ?

The total angle traced by the hour hand is the angle traced in 7 hours and 10 minutes. We know that the angle traced by the hour hand in one hour is 30º and in one minute is 1/2º. Therefore, (30º x 7) + (10 x 1/2º) = 215º is the angle traced by the hour hand.