The correct answer is: equal treatment cannot exist in separate facilities.
Brown v. Board of Education is a case in which the Supreme Court ruled that there shouldn't be racial segregation in schools in the United States. A previous ruling (Plessy v. Ferguson) would state that "separate but equal" was a valid policy.
The Brown case came to disregard this thought and validate the idea that there's no such thing as an equal treatment if there are separate facilities.