  We investigate the local time $(T_{loc})$ statistics for a run and tumble
particle in an one dimensional inhomogeneous medium. The inhomogeneity is
introduced by considering the position dependent rate of the form $R(x) =
\gamma \frac{|x|^{\alpha}}{l^{\alpha}}$ with $\alpha \geq 0$. For $\alpha =0$,
we derive the probability distribution of $T_{loc}$ exactly which is expressed
as a series of $\delta$-functions in which the coefficients can be interpreted
as the probability of multiple revisits of the particle to the origin starting
from the origin. For general $\alpha$, we show that the typical fluctuations of
$T_{loc}$ scale with time as $T_{loc} \sim t^{\frac{1+\alpha}{2+\alpha}}$ for
large $t$ and their probability distribution possesses a scaling behaviour
described by a scaling function which we have computed analytically. In the
second part, we study the statistics of $T_{loc}$ till the RTP makes a first
passage to $x=M~(>0)$. In this case also, we show that the probability
distribution can be expressed as a series sum of $\delta$-functions for all
values of $\alpha~(\geq 0)$ with coefficients appearing from appropriate exit
problems. All our analytical findings are supported with the numerical
simulations.
