England win by 241 runs to lead series 1-0
Take 6-38 in 25 overs before lunch
Finn took 4-42 and Moeen 3-37
Moeen man of the match for 7-116
Only second win in 16 overseas Tests
So it seems that all the problems are South Africa's before the second Test begins. They don't have much time to sort them, we get under way again on 2 January.
Can England maintain the momentum and take a 2-0 lead?
Join us then to find out.
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The Press Association are reporting that James Anderson is on track to play in the second Test. Anderson bowled around six overs before play began this morning.
Image source, ReutersMore from Jonny Bairstow: "There's been plenty spoken about yesterday. It was disappointing to have missed that stumping opportunity but you take it on the chin and move on. Everyone makes mistakes and you have to hold your hands up but another chance always comes along and I managed to get that stumping today which was really pleasing."
Image source, ReutersEngland wicketkeeper Jonny Bairstow on Sky Sports: "It's very pleasing to start the tour so well. We haven't always started well so it's good to get a win and good to wrap it up so early.
"We applied ourselves so well on the first innings and that gave us confidence for the rest of the match. I was happy with the way I was striking the ball, it comes on to you a bit more here than in the UAE, which suits my game."
More from Russell Domingo: "It's unlikely that Dale Steyn will play the next match. Not having him is a big blow.
"Two players have been added to the squad. Chris Morris is a good bowler and Quinton de Kock is a major talent.
"It still needs to be clear about who will keep, but we're hoping that Quinton will take the gloves from AB."
South Africa coach Russell Domingo on Sky Sports: "It's very disappointing. A lot of questions need to be answered and we've got some thinking to do in the next couple of days.
"We're not getting enough runs. There's some quality batting in our line-up, but they are down on confidence.
"Confidence is what it's all about. It's not a bad thing that it's a two-day turnaround. We just have to get on with it and improve.
"I was expecting a lot more fight and I'm disappointed with how we have gone about it.
"I didn't think our bowling was bad at all. England bowled well, they put us under pressure from ball one."
Geoffrey Boycott
Ex-England batsman on BBC Test Match Special
"I thought it would be close this series. South Africa look as if they're past their best with injuries not helping. They dropped three catches in no time when they were under pressure. They've got real problems."
Geoffrey Boycott
Ex-England batsman on BBC Test Match Special
"I don't know if the technique of the South Africa batsmen is good enough to stay in against good bowling.
"I could go through them and it doesn't look too good. You always need a good defence in Test cricket. You can't play shots if you can't stay in.
"All club players will tell you the same. There's no point playing two of three good shots then getting out."
tms@bbc.co.uk
Stewart McArdle: Congratulations to England, the better team. However, how can any player, other than Elgar, who carried his bat and was the only player to get to three figures, get this man-of-the-match award? By the way, I'm from Yorkshire.....!!
:
Geoffrey Boycott
Ex-England batsman on BBC Test Match Special
"It's about two things: having a good defence and being selective in the shots you play. That's why AB De Villiers is a class apart.
"The others have been psychologically damaged by the Indian series and now they're not sure how to play."
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Man of the match Moeen Ali: "It's been good, it's nice to have a good start here.
"I'm not really worried about batting higher. i feel at number eight I change the momentum. It's a nice role to be able to change the game with bat and ball.
"I think of myself as being attacking, but sometimes I have to hold an end."
Geoffrey Boycott
Ex-England batsman on BBC Test Match Special
Image source, AP"I thought England played very well. It was an excellent performance. The pitch didn't do too much, there was nothing alarming.
"Nick Compton solidified the middle order with James Taylor. If you can't bat, you don't win Test matches. By staying in the game, getting to 300, Taylor and Compton adapting, that was the beginning for England."
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More from England captain Alastair Cook: "It's our first away win for a long time so we will enjoy this but we know what a strong side South Africa are at home.
"It's great to see so many English fans here supporting us. The Barmy Army were a little bit quiet over the five days so their challenge is to make a bit more noise at Cape Town."