(2) At 6 o’clock, the angle between both the hands of a clock is 180°. In ‘t’ minutes, the hour hand is at (180 + 0.5t)° and the minute hand is at 6t° They should be meeting each other, so 180 + 0.5t = 6t ⇒ 5.5t = 180 ⇒t=32
4
5.5
min=32min44sec So the hands of the clock meet at 6 : 32 : 44.