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# Geometry related question

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Manager
Joined: 05 May 2005
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Geometry related question [#permalink]  13 May 2007, 21:03
How do you solve?

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 make in terms of x?

a) 48pi/x b) 75x c) 48x d) 24x e) x/75
Manager
Joined: 02 May 2007
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Re: Geometry related question [#permalink]  13 May 2007, 21:49
above720 wrote:
How do you solve?

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 make in terms of x?

a) 48pi/x b) 75x c) 48x d) 24x e) x/75

(C) it is

28 * pi * x = 35 * pi * y

=> y = (28 * pi)x/(35 * pi) (revolutions/sec)
=> y = (60 * 28 * pi * x)/(35 * pi) = 48x (revolutions/min)
Senior Manager
Joined: 03 May 2007
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I agree with kirakira

C
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