I do walk to work when I can, but right now I'm sitting here stuck because it's pouring (like it does every afternoon/evening in the summer here). If I could have brought my car, it would be waiting for me in the covered parking garage!
Getting an electric bike this month and that will let me arrive not sweaty, but it won't solve the getting home in the rain. There are actually THREE separate bus routes I can take from my house to work with about a block of walk on each end but whenever I could bus or bike I could walk, once I leave the house I never feel like spending the fare, it's only a mile.
In the other half of the year it's easy to get here without a car but only because I refuse to work anywhere that is not on a bus line and close by.
Here, the city tries but unfortunately transit is run by the county not the city.
Apparently you mistake rain for something different from what I mean by rain. An umbrella would not avail, and would be a lightning rod. A raincoat does not work either. My glasses get all rained on too then I can't see. It's a big rain with wind and lightning, goes in all directions, not a gentle rain shower in a downward direction. I'm sure there is specialized gear that would work, I just am not that committed.