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prealgebra intermediate

Problem

The number of teeth in three meshed gears , , and are , , and , respectively. (The teeth on all gears are the same size and regularly spaced.) The angular speeds, in revolutions per minutes of , , and are in the proportion
(A)
(B)
(C)
(D)
Solution
The distance that each of the gears rotate is constant. Let us have the number of teeth per minute equal to . The revolutions per minute are in ratio of: Therefore, the answer is .
Final answer
D