Why is the reaction rate equal to 1/time?

The reaction rate can be represented by 1/time. However, the reaction rate is NOT equal to 1/time.

Consider a reaction : Reactants → C + other products
The rate of reaction = Δ[C]/time
where Δ[C] is the increase in concentration of C.

A series of experiments are performed by varying a certain factor, and the time is taken when the change in concentration of C, Δ[C], reaches a constant, k, in each experiment.
As Δ[C] = k, the rate of reaction = k/time,
the rate of reaction ∝ 1/time
Hence, the reaction rate can be represented by 1/time.

(Again, the reaction rate is NOT equal to 1/time.)

Rate has UNITS which include reciprocal time.