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1980 AHSME Problems/Problem 10

Revision as of 12:11, 16 July 2012 by Mrdavid445 (talk | contribs) (Created page with "==Problem== The number of teeth in three meshed gears <math>A</math>, <math>B</math>, and <math>C</math> are <math>x</math>, <math>y</math>, and <math>z</math>, respectively. (T...")
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Problem

The number of teeth in three meshed gears $A$, $B$, and $C$ are $x$, $y$, and $z$, respectively. (The teeth on all gears are the same size and regularly spaced.) The angular speeds, in revolutions per minutes of $A$, $B$, and $C$ are in the proportion

$\text{(A)} \ x: y: z ~~\text{(B)} \ z: y: x ~~ \text{(C)} \ y: z: x~~ \text{(D)} \ yz: xz: xy ~~ \text{(E)} \ xz: yx: zy$

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