The visitors finished Day 1 at 169/2 with over twenty overs lost due to rain after West Indies won the toss and opted to field first.
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West Indies finished the day at 40/1, 41 runs behind the tourists after they posted a first-innings total of 393.
Visitors finished the day at 172/3 after a 155-run opening partnership with Ahmed Shehzad contributing 70.
All-rounder shared in a superb unbroken 132-run partnership with Jason Holder (58*) as hosts finished at 286/6 after Pakistan took early wickets.
The home side failed to put up a fight on Day 5 and only posted a target of 32 which the tourists chased down despite a few hiccups.
The Pakistan captain made 99* while Yasir Shah took 4/33 as West Indies finished the day at 93/4, 28 runs behind.
Pakistan finished the day at 201/4, 85 runs in arrears after West Indies put up a first innings total of 286.
Just 11.3 overs were bowled on Day 2 as West Indies finished at 278/9 with captain Holder fighting on at 55*.