In 1952, Rasul earned a Bachelor in Political Science cum laude from the, Diliman, in Quezon City. She also obtained a master"s degree in National Security Administration from the National Defense College of the Philippines. In 1978, Rasul earned doctoral credits in public administration from the University of the Philippines" College of Public Administration.
Rasul, together with Senator Leticia Ramos-Shahani, was one of the first women senators in Congress reestablished during the Fifth Republic. Her first experience in government and public service, however, was as a public school teacher in Siasi and Jolo from 1952 to 1957. From 1963 to 1964, she became technical assistant to the Office of the President of the Philippines.
The political career of Rasul started when she became a barrio councilor of Moore Avenue, Jolo, for two consecutive terms.
From 1960 to 1961 and from 1962 to 1963. Senate tenure Rasul was elected senator and served for two consecutive terms.
From 1987 to 1992 and from 1992 to 1995. An important legislation that she co-authored with Senator Raul Roco was Republic Acting Number.
7192 or the Women in Development and Nation-Building Acting of 1995.
The Acting outlawed discrimination against women, opened the doors of the Philippine Military Academy to women, and mandated that a substantial portion of government funds at all levels be used for programs that would benefit and develop women's capabilities. She also sponsored Republic Acting Number. 6949, the law declaring March 8 of every year as National Women"s Day in the Philippines.
Rasul was also the chairperson of such important Senate committees as Civil Service and Government Recognition, and Women and Family Relations.
Rasul was recognized by the Senate and the Women and Gender Institute of Miriam College for her dedication to her legislative duties and for her tireless effort to pursue gender equality, improve Philippine society, and promote and uphold democracy. She was also designated as Honorary Ambassador of United Nations Educational, Scientific and Cultural Organization during the International Literacy Year in 1990.
She has been an advocate of adult literacy and peace-building for years through her affiliations to various non-government organizations.
From 1971 to 1976, she was a provincial board member of the Provincial Board of Sulu.
