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

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Manager
Joined: 07 Dec 2010
Posts: 125
Concentration: Marketing, General Management
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A circular rim 28 inches in diameter rotates the same number [#permalink]  04 Oct 2011, 19:36
00:00

Difficulty:

45% (medium)

Question Stats:

83% (02:16) correct 17% (05:06) wrong based on 12 sessions
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 1211 times ]
[Reveal] Spoiler: OA
Intern
Joined: 01 Mar 2006
Posts: 23
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Kudos [?]: 1 [0], given: 1

Re: Rim rotation [#permalink]  04 Oct 2011, 20:19
Is it only me that I am not able to see the attachment ? Am i missing some privilege?
Manager
Joined: 07 Dec 2010
Posts: 125
Concentration: Marketing, General Management
Followers: 0

Kudos [?]: 9 [0], given: 12

Re: Rim rotation [#permalink]  04 Oct 2011, 21:33
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
Intern
Joined: 17 Dec 2010
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Schools: ISB
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Kudos [?]: 1 [0], given: 2

Re: Rim rotation [#permalink]  04 Oct 2011, 23:02
[(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$$x$$
Intern
Joined: 26 May 2011
Posts: 19
Location: United States
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Re: Rim rotation [#permalink]  05 Oct 2011, 08:15
2
KUDOS
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....
Re: Rim rotation   [#permalink] 05 Oct 2011, 08:15
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