x = minute hand position when this happen
:
minutes hand; 60 min =360 degrees
hour hand; 1 hr =360/12 = 30 degrees
:
min x/60 * 360 =6x
hr: x/60 * 30 = .5x
:
since it's after 3, we have to add 3* 30 = 90 degrees to the hr angle
:
hr hand position =.5x + 90
minute hand position =6x
:
6x = .5x +90
6x- .5x = 90
5. 5x = 90
x = 90/5.5
x = 16.36 min or 3 hrs 16 min 22 sec
