The reorientation dynamics of the director, which affects the optical response of a dual-frequency nematic liquid crystal under the action of an electric field in cells with hybrid-oriented twist structure, has been studied in the framework of continuum theory. The proposed model makes it possible to find the angular distribution of the director for arbitrary values of both the elastic constants and the initial tilt angles. Hydrodynamic flow was neglected in the calculations. It is shown that, for a specific liquid crystal, the turn-on and turn-off times of the cell can be equal when sinusoidal signal pulses with low and high frequencies are applied to it at definite voltages.