The Gears

The speed of a gear, S, varies
inversely as the number of teeth, T.
If a gear with 4 teeth goes 54 rpm,
how fast will a gear with 8 teeth go?

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S1 / S2 = T2 / T1
54 / S2 = 8 / 4
(8)(S2) = (54)(4)
S2 = (54)(4)/(8)
S2 = 27
Thus S=27 rpm when T=8 teeth.