The ruling in Brown v. Board of Education did not immediately end segregation in public schools because:
Northern states refused to follow it.
the Supreme Court did not offer a new policy.
Southern states closed all their public schools.
the Supreme Court could not agree on a new policy.

The ruling in Brown v. Board of Education did not immediately end segregation in public schools because the Supreme Court did not offer a new policy.

Explanation:

Brown vs. Board of Education was a lawsuit filed before the Supreme Court of the United States in 1954; the judges finally decided that the legally established racial segregation should not be applied in public schools, because there could be no question of blacks getting the same level of education as whites when they had to go to special "black" schools.

Despite the outcome of the lawsuit, this did not immediately lead to the desegregation of public schools or 'mixed' restaurants or toilets. This only became mandatory when the Civil Rights Act was signed in 1964, another ten years later. However, the verdict meant that the desegregation movement had received the support of the judiciary.