Rain delayed the start at Molyneux Park in Alexandra until just before noon on Saturday.
Captain Brendan Domigan put North Otago into bat after winning the toss.
The home side was looking for early wickets and picked up three before lunch.
North Otago was 115 for three when rain halted play for half an hour just after the lunch break.
Eight overs were lost during the delay but it was a blessing in disguise for Central Otago as Ben Purvis picked up a quick wicket shortly after play resumed, dismissing Duncan Drew for three courtesy of a sharp catch in the gully by Cam Rutherford.
Otago Country picked up three more wickets before stumps on day one but North Otago was firmly in control of the match at 290 for seven, meaning an outright win was near impossible for the host team at that point.
Yesterday, North Otago was dismissed for 352 before lunch, captain Stephan Grobler (107) and Tim O'Malley (95) top-scoring. Grobler hit 11 boundaries on his way to the century including a six off Blair Brown's first over.
Domigan led from the front with the ball and was the best of the Country bowlers, with five for 89 from 27.2 overs, while Fraser Wilson also chimed in with three for 58 from 24 overs.
That brought the home side's openers, Jonathan Homer and Scott Paulin, to the crease, looking to save the match and possibly put Country in a position to chase down the 351 to secure a first-innings win. However, Otago Country was unable to bat out the day and and was dismissed for 268 late in the day.
Only Rutherford showed any real fight with the bat, scoring 72.
The pick of the North Otago bowlers, Jeremiah Horrell, took three for 45 off 13 overs.
South Africa condemned Sri Lanka to its fifth successive one-day international defeat with what home captain AB de Villiers described as a "clinical" five-wicket win in the second one-dayer at Buffalo Park in East London yesterday, AFP reports.
Despite an innings of 92 not out by Dinesh Chandimal, Sri Lanka's total of six for 236 was not enough to put real pressure on the home side, which won with eight balls to spare.
Hashim Amla made 55 and man-of-the-match JP Duminy an undefeated 66 for South Africa.
Amla hit five fours and two sixes and took advantage of the early powerplays as he and Graeme Smith (28) put South Africa in control with an opening partnership of 76.
Duminy, by contrast, hit only one boundary in his 87-ball innings.
Dhammika Prasad took three for 46 but South Africa was able to play cautiously against dangerman Lasith Malinga, who conceded just 38 runs but took his only wicket in his final over when the result was all but assured.
Sri Lanka has lost 12 out of 18 one-day internationals since contesting the World Cup final against India in April.