  We calculate the transport relaxation time $\tau _{\rm tr}$ and spin
transport relaxation time $\tau _{s,{\rm tr}}$ for a two-dimensional electron
gas with spatially fluctuating Rashba spin-orbit interaction. These relaxation
times determine the electrical and spin conductivity of the two-dimensional
system, respectively. It is shown that the transport relaxation time $\tau
_{\rm tr}$ is a nonmonotonic function of electron energy $\varepsilon $,
whereas the spin transport relaxation time $\tau _{s,{\rm tr}}$ decreases with
increasing $\varepsilon $, similarly to the conventional electron relaxation
time $\tau$ that characterizes the decay of an electron state corresponding to
certain values of the momentum and spin. Such a behavior of the relaxation
times leads to unusual temperature dependence of the electrical and spin
conductivity.
