Initial concentrations of the reactants and the corresponding half-lives for the reaction $$\text{P} + \text{Q} \rightarrow \text{R}$$ are given below. The rate law for the reaction is

A

$$\frac{d[\text{R}]}{dt} = k[\text{P}]$$

B

$$\frac{d[\text{R}]}{dt} = \frac{k[\text{P}]}{[\text{Q}]}$$

C

$$\frac{d[\text{R}]}{dt} = k[\text{Q}]$$

D

$$-\frac{d[\text{P}]}{dt} = \frac{k[\text{P}]}{[\text{Q}]}$$