The problem is as follows:
In an analog watch; at what time immediately after 6 am, the number of minutes elapsed after 6 am is equal to the number of sexagesimal degrees the minute hand of the watch is ahead of the hour hand?
I'm puzzled on this situation as I don't know how can I relate the length of the arc and the minutes the minute hand advances. What I found were these relationships.
The minutes the hour hand advances equates the following:
I'm not sure if to solve this problem is required geometry or trigonometry, but since there is some connection between the arc lengths I'd like if somebody could help me with a drawing or diagram to clearly understand this situation better.