Previous authors have studied unsteady flow in aquifer-aquitard systems with negligible storactivity in the confined aquifer layer. Formulae have been developed for groundwater level in the aquifer (or aquitard) and no adequate tables and graphs have been provided. In this paper, solutions for transient flow in an aquifer-aquitard system that consider storativity in a confined layer in response to both abrupt and uniform water level changes, as well as steady seepage rate from rivers (or canals), are developed. Analytical formulae for groundwater levels both in the aquifer and aquitard, and for seepage rate and total amount of water percolated from rivers, have been derived. To facilitate computation, graphs for the special functions involved in the proposed equations have been prepared.