Examples of clock problems of algebra with answer?

Answer 1

Q:At what time between 2 and 3 o'clock are the hands of the clock be 15 minutes apart?

A:1) The position of the hour hand at this point... Well, there are 60 minutes in an hour, and that makes the hour hand move 5 minutes each hour.

We know that 2 o'clock puts the hour hand at 10 minutes.

Since the hour hand passes 5 minutes every hour, it goes 5/60 = 1/12 per minute.

The minute hand goes at 1 minute for each minute.

The correct time could be found by solving for x as minutes past 2 with the equation

10 + x/12 = x - 15. This does not use x + 15 since that would put the time before 2 o'clock.

~YSSB~