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January 30, 2015

January 30, 2015

Posted by **vincent** on Monday, July 29, 2013 at 8:24pm.

not just an answer please

A.120

B.160

C.360

D.420

E.480

- math -
**Reiny**, Monday, July 29, 2013 at 9:35pmshort way:

the number of revolutions varies inversely with the diameter of the wheel

i.e. the larger the wheel the smaller the number of revs.

R1/R2 = C2/C1

240/R2 = 20/30

20R2 = 7200

R2 = 360

or

distance covered by first wheel = 2π(15)(240) = 7200π inches

circumference of 2nd wheel = 2π(10) = 20π inches

for the same distance of 7200π inches

number of revolutions = 7200π/(20π) = 360 revs

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