The speed v of a gear varies inversely as the number of teeth t. If a gear that has 72 teeth makes 24 revolutions per minute (rpm), how many revolutions per minute will a gear that has 16 teeth make?

Answer 1

From the first sentence v = k/t where k is a constant

k = tv

t = 72, v = 24 so k = 1726

when t=16, v = k/t = 107.875 rpm