How did the Supreme Court rule in plessy v. Ferguson?

Plessy v. Ferguson, 163 US 537 (1896)

The Supreme Court held that states had the right to create separate but equal accommodations in intrastate (within the state) transportation and other public facilities as long as there was a legitimate reason for creating the statute. In Plessy, the Court cited the states' right to exercise its police powers to avoid whatever problems it may have anticipated as a result of allowing integrated travel.