When presenting a case before the supreme court how long does each representing attorney have to verbally present?

Answer 1

The Plaintiff and the Respondent are each allotted 30 minutes to present their arguments; however, either side may choose to allocate part of that time to someone who has filed an amicus curiea ("friend of the court") brief, if lead counsel feels the argument bolsters his or her case.

On occasion, the Solicitor General may petition the Court for permission to present an argument if the United States has an interest in the outcome of the case, but is not a party to it. The Court generally grants these petitions, and allocates extra time for the Solicitor General, and sometimes extends time for amicii or the parties, at the Court's discretion.

Presenting an oral argument before the Supreme Court is quite different from making an argument in a lower court or giving a speech, in that the Justices have the prerogative to interrupt the speaker with questions, challenges and clarifications, and they exercise this right frequently. The clock does not stop when a Justice is speaking, nor when the attorney is responding.

Answer 2

Thyere is no definite limit.

It can last until one side conceeds defeat or both sides are in agreement through a mutual understanding.

It certain forums there can be time limits imposed but these are purely arbitary.