Question 828311
All the way around is 60 minutes
The fraction of the way around at
12:40 is {{{ 40/60 = 2/3 }}}
-------------------------
All the way around is also 360 degrees
{{{ (2/3)*360 = 240 }}} degrees is the angle
that the minutes hand has gone around
----------------------------------
The hour hand travels 5 minutes on the clock
when the minute hand travels 60 minutes,
so this fraction, {{{ 5/60 = 1/12 }}} must be
multiplied by the angle that the minute
hand has traveled.
{{{ (1/12)*240 = 20 }}}
----------------------
The minute hand has moved through 20 degrees
from 12:00 to 12:40