MathDB
Meshed Gears

Source:

December 31, 2005
rotationratio

Problem Statement

The number of teeth in three meshed gears AA, BB, and CC are xx, yy, and zz, respectively. (The teeth on all gears are the same size and regularly spaced.) The angular speeds, in revolutions per minutes of AA, BB, and CC are in the proportion (A) x:y:z  (B) z:y:x  (C) y:z:x  (D) yz:xz:xy  (E) xz:yx:zy\text{(A)} \ x: y: z ~~\text{(B)} \ z: y: x ~~ \text{(C)} \ y: z: x~~ \text{(D)} \ yz: xz: xy ~~ \text{(E)} \ xz: yx: zy
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