While reauthorization of the Safe Drinking Water Act is pending, many water utilities are preparing to monitor and regulate levels of distribution system constituents that affect water quality. Most frequently, utilities are concerned about average concentrations rather than about tracing a particular constituent's path. Mathematical and computer models, which provide a quick estimate of average concentrations, could play an important role in this effort. Most water quality models deal primarily with isolated events, such as tracing a particular constituent through a distribution system. This article proposes a simple, time average model that obtains average, maximum, and minimum constituent concentrations and ages throughout the network. It also computes percentage flow contribution and percentage constituent concentration. The model is illustrated using two water distribution systems, and results are compared with those obtained using a dynamic water quality model. Both models predict average water quality parameters with no significant deviations; the time-averaging approach is a simple and efficient alternative to the dynamic model. Includes 11 references, tables, figures.