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1980 AMC 12 Question 10

AMC12 · 1980 AMC 12

Question 10

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

Question illustration
  1. $x:y:z$
  2. $z:y:x$
  3. $y:z:x$
  4. $yz:xz:xy$
  5. $xz:yx:zy$