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A circular rim 28 inches in diameter rotates the same number

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Senior Manager
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A circular rim 28 inches in diameter rotates the same number [#permalink] New post 07 Nov 2006, 07:29
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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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 [#permalink] New post 07 Nov 2006, 09:20
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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 [#permalink] New post 07 Nov 2006, 09:38
If both rims move at the same inches per second, then this means that the smaller rim moves faster.

Let’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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 [#permalink] New post 07 Nov 2006, 09:54
It has to be C ofcourse coz you guys are great :wink:
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 [#permalink] New post 07 Nov 2006, 23:56
damn question stem is this. it needs to pass SC first.
  [#permalink] 07 Nov 2006, 23:56
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