While it is desirable to use potable water for concrete production, it is not absolutely necessary. The key is to have water that is not deleterious to the process of hydration or long-term durability of the concrete. For that reason, organic compounds and soluble chlorides are usually excluded from water for concrete production. An exception to this is that seawater has been used many times for successful concrete production; however, the corrosion of rebar or embeds is much higher than with potable water.
Assuming no deleterious materials in the wash water, and mostly containing calcareous materials and grit, the water can likely be used for concrete production. Have it checked for organics and chlorides or other contaminants, but it should be OK.