Both riders ensconced themselves in the break of the day, along with teammate Simon Geschke, in an attempt to claim as many points as possible in the King of the Mountains and green jersey competitions.
Warren Barguil, who already wears the polka dot jersey, extended his lead in the climber's competition to a total of 116 points - 78 points more than his closest rival. Barguil launched his first attack just three kilometres into the stage in an attempt to shore up points ahead of the Alpine stages later this week.
“The goal for today was to get into the break and to take some points in the sprint and KOM," said Barguil. "We had three guys in the break which was a good situation for us and we were able to reach both of those goals.
"I’m pleased with the lead that I have but its still a long way to Paris so I will continue to attack and try to add to it.”
Meanwhile, Michael Matthews continued his pursuit of Marcel Kittel (QuickStep) in the points competition, taking maximum points in the intermediate sprint to narrow Kittel's lead to 79 points.
Victory in the green jersey competition is still possible, but Matthews will need to make the most of the intermediate sprints in the mountainous stages to come on Wednesday and Thursday - and hope that Kittel has at least one bad day on the two sprint stages remaining.
Meanwhile. breakaway companion Simon Geschke has slighly more modest aims for the rest of the race.