It is said that the structural genes are transcribed continuously. For example lets take the lac operon; if the gene for galactosidase is fully transcribed then transcription should end to synthesize the next gene, lets say galactosidase permease. But since all the genes are under single promoter it is also not possible.
On the other hand lets suggest that transcription occured continuously for all the genes. now, during translation how do ribosomes identify the last codon of first gene and cut the peptide sequence and start new protein synthesis in the next codon islet? If there is any stop codon then the ribosomes would dissociate from RNA and could not synthesize the upstream proteins.