Question

How much does a watch gain or lose if the two hands coincide every 64 minutes?

Answer 1

Take an example:

When it is 12:00 afternoon

Think of a normal clock

Now the minute clock moves and coincides when it is 1:00

The minute hand has to move from 12 to 12 again completing 60 minutes and then again 5 minutes to reach 1

So it need 60+5==>65 minutes to coincide

Hence that watch loses by 65-64==> 1 minute every hour

Your answer: Loses by one minute every hour

Hope it helps you.