London system or colle system?

which opening is better for white in classical or a 10 min game

Both are good.

I think London system

A "similar positional system" but in the London system the black squar Bishop is outside the pawn structure so in theory the London system should be better.
 

It all depends on what Black does.  No one QP opening works as a catch-all system.  You must pay attention to what Black is doing.  Here is a rundown of when a line is playable and when it is not.

Colle System - This is only playable when the move ...e6 is played with Black's light-squared Bishop behind the pawn chain.  After 1.d4 Nf6 2.Nf3 g6, the move 3.e3 is bad.  The Colle, which relies on the superior LSB just like the White side of the French and Catalan do, would serve no purpose here.

It also should be noted that after 1.d4 d5 2.Nf3 Nf6, if you play 3.e3, you MUST be willing to play c4, resulting usually in a Slav.  If 3...e6, then 4.Bd3 and the Colle is great.  But if 3...Bf5 or 3...Bg4, you must play 4.c4 and after 4...c6, you have the Slav Defense by transposition.

London System - This is ok against any defense EXCEPT 1...g6.  After 1.d4 g6 2.Bf4? Bg7 3.e3 d6 4.Nf3, both 4...Nc6 and 4...Nd7 with 5...e5 to follow are strong for Black.

The London is OK but not great against the Dutch.

Also, you cannot play the London blindly.  Against Defenses with ...g6, the Bishop belongs on e2.  Against lines with ...e6, it belongs on d3.

Torre Attack - This works against 1...Nf6/2...g6 and 1...Nf6/2...e6 and is bad against early ...d5 lines because of 1.d4 Nf6 2.Nf3 d5 3.Bg5? Ne4!  Very different than the Trompowsky because with Nf3, there is no f3 to chase the e4-knight away.

Veresov (3.Bg5) and Jobava (3.Bf4) - These lines with 2.Nc3 are no good against 1...c5, and it just transpose to the Modern defense against 1...g6 where either Bishop move is bad and White should play 3.e4.  Against anything else, these are playable.

Trompowsky - Basically works against 1...Nf6 and nothing else.  It is dubious against 1...d5 because of ideas discovered for Black with 2...f6!  It is tricky, but if Black knows it, it is =/+.  Against 1...Nf6, the Tromp works.

Hope this helps.  I can say when I played this stuff for about a year in 2019, I did the following:

Torre against 1...Nf6/2...g6 and 1...Nf6/2...e6

Colle against early ...d5 (with 4.c4 if he brings the Bishop out)

2.Bg5 against the Dutch.

Did not allow the Dutch Deferred (1...e6 followed by 2...f5) or the English Defense (1.d4 e6 2.c4 b6) as against 1...e6, I played 2.e4, going into a French, and against 1...b6, I went 2.e4, going into the Owen's Defense, which is dubious, rather than allow the English Defense, which I find annoying to face.

Quoted for truth.

Also, if you'd like an "intuitive" way to handle these openings, then simply think of the central pawn structure (pawns on e3 and d4) as what you'd like to play, and then develop your queen bishop depending on how black defends.

Sometimes you may decide your queen bishop will be best on f4, before playing e3. Sometimes you might want it to go to g5, instead. Or to b2. Or you may want it to remain undeveloped until later.

These different choices will all lead to different openings - but the important part is that your development scheme will be a conscious choice, based on your opponent's development, rather than one born of habit or memorization.

The London system has the more active and optimally placed DSB and is therefore superior.
In many ways, the Colle system is much harder to sustain structural integrity with on a higher level.

Intuitively it feels more like an NLA to me with the pieces more backwardly placed and the composition hanging together by loose threads.

There was recently this game where I believe Topalov completely crushed the Colle system against another superGM (maybe it was Mamedyarov) in about 15 moves.

Yep.  I used to play the London against everything, not a good thing for me to do. 

I've since moved on to playing the book Keep It Simple 1 d4 repertoire, it is based on delaying c4 and going 1 d4 2 Nf3 3 g3 4 Bg2 5 0-0 and then usually 6 c4. But there are exceptions to this setup or when c4 is played. For instance, against 1...c5 white plays 2 d5.  Or after 1 d4 Nf6 2 Nf3 c5 white plays 3 d5. There are times when c4 will come sooner, or later, once again depending on what black does. 

Introduction To The London System & Jobava London System...

https://www.chess.com/blog/RussBell/the-london-system

Personally, I prefer the colle since the bishops synchronize very well at blacks king. While in the London the DSB and LSB dont- or at least it feels that way.

Both are ok and annoying to deal with

Very nice.  Thanks.

Might I suggest 2 additional resources/links for the Jobava London?

https://www.chessable.com/short-sweet-niemanns-jobava-london/course/102833/

https://shop.chessbase.com/en/products/paehtz_the_jobava_london_system

How about the solar system?

jk.

I have never played either, but looking to what I have played the London looks better. The best way to see is look at some theory and see if the ideas make sense to you. “What would I do” you ask in every position like in a game. If nothing makes sense above, just look at opening principles. My only defence is the French (no pun intended). It’s solid. So you have to make a decision. Which is the best opening in your opinion? I started playing the Italian after I played a few moves and at move 3, it look identical to the Italian. Therefore, I started playing it. Your choice. You need reasons to pick the opening because otherwise you’ve wasted your time. Make a list of reasons why you would play that system and then decide. Good luck.

I see both as fairly easy to deal with.

When I used to play the KID, the Colle was a complete joke, and the London System never gave me problems because of 1.d4 Nf6 2.Nf3 (2.Bf4 leads to the same thing in this line) g6 3.Bf4 Bg7 4.e3 d6 5.h3 O-O 6.Be2 Nbd7 7.Nbd2 (7.O-O Ne4! 8.Nbd2 Nxd2 followed by 9...e5 and 10...Qe7 gets the Queen to the optimal square in 1 move instead of 2) 7...Qe8 8.O-O e5 followed by ...Qe7.

Now, playing the Dutch, both are pretty much a joke.  1.d4 e6 2.Bf4 f5 3.e3 Nf6 4.Nf3 b6! and White has nothing.  Getting in ...f5 before ...Nf6 is a benefit for Black when White plays the London setup, and the Colle is still a joke against the Dutch.

Well, in the London one of your main priorities is to sacrifice the DSB, either on g3 to free the h-file for your rook, or by protecting e5 to remove the knight on f6. While similar, comparing the openings is like comparing the Slav and Semi-slav, while they look similar the ideas for both sides are completely different in both.

Yes, I'm aware.