Question

how many times does the minute hand move around the clock face in one day?

Answer 1

The hour hand will go around the clock twice during a day, every 12 hours. During a single rotation, the minute hand will go around 12 times. The minute hand will pass the hour hand 11 times in the first 12 hours, and 11 times in the second 12 hours. This means that they will meet 22 times.

Answer 2

To find that, we will start from one minute. How many seconds are there in one minute? There are 60 seconds in one minute.
Now, how many minutes are there in an hour? 60 minutes. So we have to do 
60 × 60 = seconds in an hour = 3600 seconds
How many hours are in a day? Well, there are 24 hours in a day.
So 3600 × 24 = seconds in a day = 86400 seconds in a day

There are 86400 seconds in a day.