Durham 381 (Bedingham 121, Jones 78, Lees 52, Tongue 4-73) and 89 for 0 (Bancroft 46*, Jones 34*) beat Worcestershire 131 (D'Oliveira 39*, Carse 4-25, Potts 4-32) and 336 (Libby 126) 10 wickets
Worcestershire opener Jake Libby's third century of the summer was unable to prevent Durham from triumphing by 10 wickets on day three of the LV=Insurance County Championship match at New Road.
Libby struck 126 to take his run tally for the campaign to 776 - a figure only bettered by Durham batsman David Bedingham with 787. He received support throughout the day from the middle to lower order as Worcestershire totalled 336 all out after resuming on 99 for 3.
But the home side were only able to set a modest 87 target and Cameron Bancroft (46 not out) and Michael Jones (34 not out) saw them home without being parted in the final over of the day.
Durham's third win keeps them in contention for a top-two spot when they resume Championship action in early July. They have a potent attack, even in the absence of England's Mark Wood, spearheaded by Chris Rushworth, Brydon Carse and Ben Raine.
But Matty Potts also stepped up to the mark in his second appearance of the campaign with match figures of 36.3-10-98-8.
Worcestershire's hopes ended with this third defeat in the last four games after drawing the first five fixtures. They were playing catch-up after being bowled out for 131 on the opening day thanks to a mixture of excellent bowling and poor shot selection before Bedingham and Michael Jones pressed home the advantage for Durham with the bat.
Rushworth made the first breakthrough of the day when nightwatchman Josh Tongue was lbw for 15.
Raine struck in his first over with Ross Whiteley on four driving at a delivery slanted across him and edging to Bancroft at first slip.
Brett D'Oliveira, who had top-scored with an unbeaten 39 in Worcestershire's first innings, looked in good form. He straight drove Potts for four and clipped Raine through mid-wicket for another boundary.
Libby had a let-off on 75 when keeper Ned Eckersley failed to hold onto a chance off Rushworth. But otherwise he and D'Oliveira played with freedom and the century stand came up immediately after lunch from 147 balls.
Carse bowled a testing post-lunch spell to Libby, who was caught at first slip off a no ball on 96. He went to his hundred - from 180 balls - with his 14th four.
D'Oliveira, after making an accomplished 46, was bowled by Potts from a delivery which kept low to end a 106-run partnership with Libby.
Libby struck three successive boundaries off Potts but his fine knock ended on 126 when he gave spinner Scott Borthwick the charge and was stumped. His 210-ball knock contained 18 fours.
Cox made 26 before he was caught at second slip off Raine and captain Joe Leach, with 19, top-edged Potts and was caught behind.
Ed Barnard was left unbeaten on 34 after last man Dillon Pennington edged Carse to second slip.