Two web sites that I like

They are both government sites, one for weather and one for time.  

radar.weather.gov

https://time.gov/

The weather site shows the whole country.  Especially in the spring, when temperature gradients are fighting it out and changing back and forth, I find it can be handy to have a wide view.   Of course, more local apps such as Yahoo Weather and Accuweather give the local temperature and more.

There was a time when the world was not divided into time zones but it is basically convenient to get accurate time readings from the different parts of the country.