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A machine consisting of 3 connected wheels is mixing

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CEO
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A machine consisting of 3 connected wheels is mixing [#permalink] New post 19 Oct 2007, 12:58
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A machine consisting of 3 connected wheels is mixing concrete. The engine is running at a speed of 60 rpm and the mixer is mixing at a rate of 8 rpm.



What is the diameter of the mixing wheek if the radius of the smaller drive wheel is 2 inches?



12

15

25

30

32
Director
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Re: PS hard RT=D question [#permalink] New post 19 Oct 2007, 13:19
bmwhype2 wrote:
A machine consisting of 3 connected wheels is mixing concrete. The engine is running at a speed of 60 rpm and the mixer is mixing at a rate of 8 rpm.



What is the diameter of the mixing wheek if the radius of the smaller drive wheel is 2 inches?

12

15

25

30

32


i still wonder how is someone who never bothered to look carefully at the structure of concrete mixing machine in his/her entire life supposed to solve this question... and are not there different types of concrete mixing machines...
VP
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 [#permalink] New post 19 Oct 2007, 13:31
I would say (D)

Since the smaller circle has radius of 2 then its perimeter is 4pi

every minute it goes a way of 4pi*60 = 240pi

the biggest circle perimeter is unknown 2*pi*r

240*pi = 2*pi*r*8

r = 15

so the diameter is 30

:)
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 [#permalink] New post 20 Oct 2007, 08:42
ahh.. good one..i fell for 15...

30 is correct..we are looking for diam.
CEO
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 [#permalink] New post 19 Dec 2007, 08:04
KillerSquirrel wrote:
I would say (D)

Since the smaller circle has radius of 2 then its perimeter is 4pi

every minute it goes a way of 4pi*60 = 240pi

the biggest circle perimeter is unknown 2*pi*r

240*pi = 2*pi*r*8

r = 15

so the diameter is 30

:)


thanks. very helpful

OA is D 30
  [#permalink] 19 Dec 2007, 08:04
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