A circular rim 14 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?  Choose the correct choice from the following choices.
A) 48pi/x
B) 75x
C) 48x
D) 24x
E) x/75
The larger rim must circulate for the same number of inches the smaller rim does.   C = (pi)d   C(small): (pi)*14   C(large): (pi)*35   Lets say the time horizon is 60 seconds, so during that time the smaller rim covers a distance of (pi)*14*60 = (pi)*(840) inches   (pi)*(840) = (pi)*(35)(x)   pi*(24) = pi*(x)   24=x   Answer: 24x
<result>D</result>
A circular rim 14 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?