What time is it if the second hand is exactly on a second mark, and exactly 18 second marks ahead of the hour hand?
Following the same arguments, it can be proved that, in general, if the second hand is exactly (5A+B) second marks ahead of the hour hand where A=0,1,2,..........,11 and B= 0,1,2,3,4 then the current time is 12(5-B) minutes past (11-A) o'clock.