We have calculated the tunnelling current in GaAl-AlxGa1-xAs heterostructures using non-equilibrium distribution functions. These functions are obtained by means of a set of rate equations for carrier and phonon dynamics which takes account of the fundamental scattering mechanisms in a semiconductor. We analyse the resonant tunnelling as well as the time evolution of the carrier population generated by a laser pulse in a well. In particular, we pay attention to the escape time and its dependence on the external parameters of excitation.