The question goes like this:
It is now between 9 and 10 o’clock. In 4 minutes, the hour hand will be directly opposite the position occupied by the minute hand 3 minutes ago. What time is it now?
The answer to this question is 9:20, but cannot figure out the solution. I've tried treating this as a distance problem. I used degrees(°) as the distance unit, so the hour hand has a speed of $\frac12°$ per minute and the minute hand $6°$ per minute. It did not help me at all.
Maybe I just needed to be pointed to the right direction. I appreciate any help. Thank you.