Tell the Time

 Can you tell at what time between 7 and 8 O’ clock, the two hands of a clock, will be in a straight line?

Answer:  5-5 / 11 minutes, past 7.

Exactly at 7 O’ clock the minute hand is 35 divisions behind the hour hand. In order to be opposite one another the minute hand must gain 5 divisions on the hour hand.

However, the minute hand gains 35 divisions in 60 true minutes.

 And therefore the minute hand gains 5 divisions in 5-5 / 11 true minutes.