After being frustrated in the first half, Chelsea broke the deadlock in the 61st minute when Diego Costa fed Willian on the left of the penalty area and he shifted the ball to his right and curled a shot high into the corner.
Chelsea eye top spot with visit of Liverpool
The visitors doubled their advantage six minutes later as Nemanja Matic's shot was blocked into the path of Costa who curled in a precise finish for his sixth league goal of the season.
Chelsea moved up to sixth in the table with 13 points, while Hull are 15th on the table with seven points after a third straight defeat.
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