Rapid Creek is a tributary of the Cheyenne River, approximately 86 mi (138 km) long, in South Dakota in the United States. The creek's name comes from the Sioux Indians of the area, for the many rapids in the stream.

Silver City is an unincorporated community in Pennington County, South Dakota, United States, outside Rapid City. It lies at the head of Pactola Lake on Rapid Creek, and is about 5 miles west of U.S. Route 385 via a paved county road. It is not tracked by the U.S. Census Bureau.