(sat prep) the rays
om
,
on
, and
op
in the figure, coincide at time t=0. at the same instant of time
om
and
op
rotate in the plane about point o in opposite directions while
on
remains fixed. with respect to
on
, segment
om
rotates at constant rate of 3° per second and
op
, at 6° per second. what is the smallest positive value of t, in seconds, for which segments
om
and
op
will coincide? when t=30 min, how many more revolutions does segment
op
complete than segment
om
?
keep working and you will earn half credit for correctly solved problem.

t =
sec. segment
op
does
revolutions more than segment
om
.