England rocks Wales
Wales captain Ryan Jones.
Wilkinson added the conversion, lifting England into a 13-3 lead and underlining Alun-Wyn Jones' crass indiscretion.
But worse was to come for the Ospreys lock as England scored again before he could return to the field.
England skipper Steve Borthwick stole possession superbly for his side, creating an attacking platform that Care prospered from by racing through an absent Welsh defence.
Wilkinson's conversion put England 20-3 ahead, and Wales knew it had to score next or face oblivion.
But the visitors delivered, Jones going a small way to atoning for his sin-binning by delivering the scoring pass to prop Jones that gave Wales a glimmer of hope.
Hook then increased Welsh optimism with a darting score, but England finished them off - sparked by a superb display from skipper Borthwick - when a Stephen Jones pass was intercepted and the home side broke 60 metres upfield to score.
Both sides need vast improvements if they are to contest the Six Nations title, but England are up and running, which is all Johnson will worry about.