correct answer is 0.54 m/s. use navier stokes

A horizontal conveyor is moving liquid from one container to another. The gap between the conveyor and the closed top surface is 43.1cm and the conveyor width is 1.2m. Also, the flow rate of the liquid is 0.14m3/s. If the heights of the liquid in both containers is the same, what is velocity of the conveyor in m/s ? Assume the volume of water does not change in either container (i.e., a pseudo steady state assumption)