A fast-curing pervious concrete mix made by combining: water; a cementitious material comprising portland cement and a supplementary cementitious material; aggregate sized to form a pervious concrete; a water reducer; a quantity of fibers; and a polymeric bonding agent, the mix curing to a compressive strength of at least 2,000 psi within 24 hours of placement. Also, a method of forming a pervious concrete structure by forming the fast-curing pervious concrete mix, placing the mix in a desired formation, and curing the placed mix, and a pervious concrete obtained by placing and curing the fast-curing pervious concrete mix.