100 miles per person per day us way to high. Virtually no one drives a hundred miles per day commuter or otherwise.
The over all total yearly average is 36 miles per day.
https://www.fhwa.dot.gov/ohim/onh00/bar8.htm
With the average daily commuter doing under 30 round trip per work day.
https://www.nrc.gov/docs/ML1006/ML100621425.pdf
You forgot to factor running the A/C while stuck in traffic. Imagine LA freeways when someone forgot to get a full charge before heading to work.
Also, there’s this crazy plan to use EV batteries as an energy store during the day, charged by solar. Then when the sun goes down, they will draw on that stored power until demand drops. Then they will recharge the cars. Gee, what could possibly go wrong?