At stumps, Tare was not out on 122 and giving him company at the other end was Rohit Sharma on 72.
Electing to bat, Mumbai got off to a fabulous start with opening partnership between Wasim Jaffer and Tare yielding 135 runs.
Jaffer was the first one to depart when Saurya Sanandiya provided Saurashtra the breakthrough. He scored a fine 79 off 116 balls, studded with 11 fours and a six.
After his departure, Tare continued in the company of Ajinkya Rahane (24) before the latter's stay at the crease was cut short by Kamlesh Makvana.
Thereafter, Saurashtra bowlers toiled hard but the visitors held fort to deny them any more wickets on the day.
When stumps were drawn, Tare had already spent 369 minutes in the middle, facing 262 balls, and hit 18 boundaries and a six.
While Rohit Sharma scored an unbeaten 72 off 110 balls, laced with seven fours and three sixes.
Brief scores:
Mumbai: 306 for two in 90 overs (Aditya Tare 122, Wasim Jaffer 79, Rohit Sharma batting 72; Saurya Sanandiya 1/56).
