WASHINGTON — Hyperloop One, an experimental transportation company that proposes to carry people at speeds of up to 700 miles per hour inside a system of tubes, announced its first partnership with a state government on Thursday.

The company and the Colorado Department of Transportation said they had agreed to study the feasibility of a 360-mile route that would connect Denver with Pueblo to the south and Cheyenne, Wyo., to the north.

But the joint study will be just the first step in what would be a long process before any of the 4.8 million Colorado residents such a system could serve would see it in action.