Question: The minute and the hour hand of a watch meet every 65 minutes. How much does the watch lose or gain time and by how much?
Answer:
The minute and the hour hand meet 11 times in 12 hours in normal watch i.e. they meet after every
= (12 * 60) / 11 minutes
= 65.45 minutes
= 65 minutes 27.16 seconds
But in our case they meet after every 65 minutes means the watch is gaining 27.16 seconds.