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A circular rim 28 inches in diameter rotates the same number

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

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07 Nov 2006, 08:29
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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 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?

1) 48pi/x
2) 75x
3) 48x
4) 24x
5) x/75

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07 Nov 2006, 10:20
I picked numbers for this one and used 28pie inch per second. So in 1 second, the smaller circle makes 1 revolution. x=1

In minutes, 28pie would be 1,680pie.

Since the circumference of the bigger circle is 35pie, you just divide 1680pie by 35pie to get 43 total rotations in 1 minute.

43(1) = 43x

I would go with C. What's OA?
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07 Nov 2006, 10:38
If both rims move at the same inches per second, then this means that the smaller rim moves faster.

Letâ€™s say that in one second both rims move 7in, this means that the smaller rim rotates 1/4 and the larger rim rotates 1/5 in one second. Then we have a ratio problem.
If the smaller rim rotates at 1/4 rps which is x and the larger rim rotates at 1/5 rps (60/5=12rpm). Then using the answers we find which one yields 12.
C) it is
48x=48(1/4)=12 --> BINGO
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Senior Manager
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07 Nov 2006, 10:54
It has to be C ofcourse coz you guys are great

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08 Nov 2006, 00:56
damn question stem is this. it needs to pass SC first.

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08 Nov 2006, 00:56
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