Many rural roadside establishments combine a restaurant with a gasoline filling station (“food and gas” or “food and fuel”). The classic sign for such a place is: “Eat Here and Get Gas.”
   
By at least 1930, the sign “Eat and get gas” was noticed in Mount Vernon. New York. In, 1933, an ““Eat here and get gas” sign was posted near Kansas City, Missouri. In 1936, a sign in Nacogdoches, Texas read: “Eat Here and Gas Up.” By the 1950s, the signs were appearing all across America and the humor was intentional.
   
     
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4 April 1930, Fresno (CA) Bee, “New York Day By Day” by O. O. McIntyre, pg.18B, col. 7:
Sign on combination restaurant and filling station near Mt. Vernon: “Eat and get gas.”
 
5 April 1933, Kansas City (MO) Star, “Starbeams,” pg. 22, col. 6:
In connection with a filling station on a highway not far from Kansas City the owner operates a barbecue stand and lunch counter. Outside is this sign: “Eat here and get gas.”
         
7 August 1936, San Antonio (TX) Light, “Around the Plaza” by Jeff Davis, pg. 1B, col. 1:
A Del Rio correspondent says were we ever in Nacogdoches, Texas? And if we were, did we ever notice that sign on a combination cafe and filling station across the street from the Stephen F. Austin college campus:
 
“Eat Here and Gas Up.”
 
2 November 1940, Portsmouth (OH) Times, pg. 7, col. 8:
Sign on a filling station here: “Eat and get gas.”
 
Google Books
The Louisville & Nashville Employes’ Magazine
By Louisville and Nashville Railroad Company, Louisville and Nashville Railroad Company
Published by Louisville and Nashville Railroads, 1942
Item notes: v. 18-50
Pg. 32:
Many A True Word
A motorist reports passing this sign on a combination restaurant-service station: Eat Here And Get Gas.
   
8 December 1944, Connellsville (PA) Daily Courier, pg. 12, col. 8:
Super Attraction.
RICHMOND, Ind., Dec. 8.—A sign at a nearby roadside combination garage and restaurant says, “Eat Here—Get Gas.”
   
December 1946, International Steward, pg. 30, col. 1:
Sign in a Richmond, Indiana, combination restaurant and garage: “Eat Here…Get Gas.”
   
14 June 1953, New York (NY) Times, “Signs of Life on America’s Highways” by Theodore Pratt, pg. XX3:
Hung over a combination restaurant and gasoline station, the sign reads: “EAT HERE AND GET GAS.”
   
Google Books
Blue Highways: a journey into America
By William Least Heat Moon
New York, NY: Fawcett Crest
1984
Pg. 342:
A hand-painted sign: EAT HERE AND GET GAS.