England would want to make some 400+ runs tomorrow and the first session on the last day before declaring to try to make India all out.
So you saying that England would make 400+ runs in four sessions and then India will be all out in the just two session on the last day

That's not possible because England is playing against a strong Indian team and not any club level team where you think that England will have such an easy win.
I don't think both teams would be thinking in terms on how to win this match, I guess both team main focus would be on how to save the match first and then think of a win, if there is any chance. Keeping this approach, I am sure we won't find any eagerness in the England batting to score quick runs at least for the first session today.