Chelsea took maximum points at Wolves, but Hull lose in bottom of the table clash and Sunderland's freefall continues. Chelsea took full advantage of Manchester United's slip at Everton by taking three points off Wolves at Molineux with a 2-0 win.
The Blues were never at their best but still came away with a win.
Cech again was the busier of the keepers as the second half began but Drogba added his second courtesy of a long punt from the keeper to seal the points.
Nicklas Bendtner had earlier struck the bar before he gave the Gunners the lead, taking advantage of some slack visitor's marking.
Then in the final minute Cesc Fabregas was brought down in the penalty area by Frazier Campbell and the Spaniard converted from 12 yards.
Hull pressed the self destruct button early in the second period as Craig Fagan collected a second yellow card.
The Hammers quickly made their numerical superiority count and Carlton Cole doubled their advantage.
Julien Faubert then added a third on the stroke of full time.