Hurricane Alicia formed from Tropical Depression Three on August 15 in the Gulf of Mexico and slowly moved west towards Texas , where it made landfall on August 18 at its strongest point with 115 mph ( 185 km\/h ) winds . At 0600 UTC on August 18 , the winds reached 115 mph ( 185 km\/h ) , just before Alicia made landfall about 25 m southwest of Galveston , Texas .