A point on a wheel moves at 27π5 radians per minute.
How many seconds are required for the point to complete 12 revolutions?
(27pi/5) / 60 = 27pi / 300 = (9/100) pi rads / sec
12 revs = 12 * 2pi = 24 pi rads
So
24pi / [(9/100) pi] = 24 * 100 / 9 = 2400/9 ≈ 266.67 sec