There isn't much biographical information about him on the Internet. A snippet on his Web page is here, and a litle more about him is here. The former link inlcludes this: "His strong and richly colored images borrow much of their inspiration from early 20th century paintings and posters."
Ziemienski's painting have a posterlike look, a purposeful appearance that he could easily bring off in part because earlier in his career he was a commercial artist.
For non- North American readers, a carhop was a girl who delivered food to customers in their cars parked by a drive-in restaurant. The green car closely resembles a 1941 Dodge.
Ziemienski also painted simplified landscapes.
Mid-1930s New Mexico setting.
There were orange juice stands like these in California as late as the early 1950s, though I'm not sure of their brand name.
The Great Northern Railroad was the most northerly line between Chicago and Seattle, so this scene hints at being just east of Glacier National Park.
The bathing suit style is from around 1932.
This evokes the early part of the 20th century.
I haven't done the research to find if this was an actual plane or something Ziemienski made up.
A 1956 Ford truck with a New Mexico license plate.
This might represent Lake Tahoe in the 1920s.
Note the Life Magazine cover, dating this roughly from the late 1930s well into the 1940s. I don't know if that was an actual cover photo.
That's a 1937 Ford.