puma wrote:

A circular rim 28 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 ?

A. 48pi/x

B. 75x

C. 48x

D. 24x

E. x/75

Okay..here it goes..

Lets call the smaller one A and the larger one B.

A's diameter = \(28\), so circumference = \(28\pi\)

B's diameter = \(35\), so circumference = \(35\pi\)

Let the number of revolutions of A = x, and those of B = y.

According to the question..

\(28\pi*x = 35\pi*y\)

Thus,

\(y = \frac{4}{5}x\)

But that's the value of revolutions per second. For per minute..multiply it with 60.

Answer 48x(C).

_________________

Spread some love..Like = +1 Kudos