The Flintstones and the Rubbles visit the Bedrock World's Fair, where they visit a time machine exhibit and travel to various times of the future.

After visiting luxury apartments, Fred decides he wants to live there, so he moves with Wilma and Pebbles. In order to pay for the place, Fred takes a job at the apartment complex moonlighting as a janitor. Fred finds that working two jobs is too hectic, and when Fred's boss, Mr. Slate, moves into Bedrock Towers, he must try to hide from Mr. Slate that he is moonlighting.