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# A circular rim 28 inches in diameter rotates the same number

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Manager
Joined: 07 Dec 2010
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Concentration: Marketing, General Management
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A circular rim 28 inches in diameter rotates the same number [#permalink]

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04 Oct 2011, 20:36
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Difficulty:

55% (hard)

Question Stats:

71% (03:08) correct 29% (03:08) wrong based on 28 sessions

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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 later rim make in terms of x?

A) $$\frac{48P}{x}$$
B) 75x
C) 48x
D) 24x
E) $$\frac{x}{75}$$

[Reveal] Spoiler:
Attachment:

Rimrotation.jpeg [ 87.55 KiB | Viewed 1714 times ]
[Reveal] Spoiler: OA
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04 Oct 2011, 21:19
Is it only me that I am not able to see the attachment ? Am i missing some privilege?
Manager
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04 Oct 2011, 22:33
kulki wrote:
Is it only me that I am not able to see the attachment ? Am i missing some privilege?

Please click on the attachment .it will be visible
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05 Oct 2011, 00:02
[(Rev/sec) x circumference] of 28 inches rim = [(Rev/sec) x circumference] of 35 inches rim
$$x$$ x 28$$Pi$$ = $$y$$ x 35$$Pi$$
$$y$$ = $$\frac{4}{5}x$$

But this is rev/sec. Converting to minutes we get
$$y$$ = $$\frac{4}{5}x$$ x 60
$$y$$ = 48$$x$$
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05 Oct 2011, 09:15
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braxus wrote:
[(Rev/sec) x circumference] of 28 inches rim = [(Rev/sec) x circumference] of 35 inches rim
$$x$$ x 28$$Pi$$ = $$y$$ x 35$$Pi$$
$$y$$ = $$\frac{4}{5}x$$

But this is rev/sec. Converting to minutes we get
$$y$$ = $$\frac{4}{5}x$$ x 60
$$y$$ = 48$$x$$

Missed the per minute thing....
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Re: A circular rim 28 inches in diameter rotates the same number [#permalink]

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06 May 2016, 05:16
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A circular rim 28 inches in diameter rotates the same number   [#permalink] 06 May 2016, 05:16
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