Why? It's not exactly an ecomonic use of time to make a few coins, is it? You are tying up a worker and soldier who could be doing other things, like pillaging another city for even more coins!![]()
10 gold per turn?
At what rate does one worker repair improvements according to you? (not even counting moving)
You're still forgetting about upkeep for two units. Also, how is that scout going to defend your worker from barbarians (let alone enemy civs)?
Even if you could actually make a profit (on quick I suppose) I doubt it's worth building a worker for. Might be viable in a situation where you have a worker who isn't going to be anything usefull for the rest of the game, but that still means you made the mistake of building said worker.