Fred and Barney create a super-secret fuel that is supposed to be tested for Gettystone Oil in the Bedrock Grand Prix. Pebbles accidentally gives the fuel and the formula to the junkman and must find a way to retrieve it before the race. In doing so, the kids find a flaw in the formula and work to correct it. A series of mishaps leaves Pebbles and Bamm-Bamm substituting for their fathers in the race.