Barbados captain Hinds helped the Vice-Chancellor's XI reach their target of 325 with 3.5 overs to spare.
Zimbabwe scored 324 for five in a match played at the pint-sized Jolly Beach Cricket Ground. Zimbabwe's total was built around opener Piet Rinke's 113, Brendan Taylor's 80 and Charles Coventry's 54.
All-rounder Richard Kelly, who is expected to make his international debut in the current series against West Indies, took two for 46.
Chadwick Walton assisted Hinds in the run chase with 67 not out after Xavier Marshall's 54 had given the hosts a solid start.
Medium pacer Anthony Ireland completed figures of three for 52, but the other Zimbabwe bowlers suffered.
Yesterday's loss followed Zimbabwe's defeats in the first two One-day Internationals in St John's over the weekend.
The third game of the seven-match series will be played in Georgetown on Saturday.