According to Hindu scriptures, the sex drive is stronger in women.
The line from Mahābhārata in the question is closely related to the guidance below from Garuḍa Purāṇa (astrojyoti.com):
COPULATION PROHIBITED ON CERTAIN DAYS
An ideal wife is one who obeys the commands of her husband without any inhibition. According to the scriptures the best time for a married couple to copulate is after the woman has had her menstruation, especially till sixteen days after her periods have commenced are considered best for this purpose. But, there are also certain days on which making sexual contacts is prohibited - the first four days after her periods have started, Ashtami, Chaturdashi, Amavasya and Purnima are few such days. If the above given rules are followed then a couple can beget worthy sons possessing good qualities. Considering the fact that a woman has sexual urge eight times more than a man, scriptures have also advised a man not to overlook the sexual urge of his wife and to satisfy her without bothering about the prohibited days.
Chanakya Neeti, translated by B.K. Chaturvedi (thanks to @YDS for the reference) says:
स्त्रीणा द्विगुण अहारो लज्जा चापि चतुर्गुणा ।
साहसं षड्गुणं चैव कामश्चाष्टगुणः स्मृतः ।। 57 ।।
Streenaa Dvigun Ahaaro Lajjaa Chaapi Chaturgunaa.
Saahasam Shadgunam Chaiv Kaamashchachaashatgunah Smritah.
(In comparison to a man) A woman is having two times more appetite, four times more shyness, six times more courage and eight times more the sexual desire.
J. L. Shastri's translation of Garuḍa Purāṇa says the same thing:
33. The diet of a woman is twice as much as that of a
man; shrewdness four times, energy is six times and amorousness is eight times as much as that of a man.