Two city of Rochester sanitation employees — one full time, the other seasonal — were terminated Wednesday after an investigation concluded they had sex with a prostitute in a garbage truck while on duty.

According to Rochester Mayor William A. Johnson Jr., the alleged incident occurred on Aug. 5.

The two men were immediately suspended pending the outcome of an investigation.

“There is a presumption of innocence and you have to abide by that,’’ Johnson said. “ But during the course of the investigation, it’s my understanding that one of the men admitted to what happened. Initially, there was some discrepancy but in this case, we ruled in favor of the citizen making the complaint.’’

Johnson said operations director Richard Saltrelli initiated the investigation. Once it was concluded the incident did take place, the process to terminate the two employees began.

Johnson, who didn’t know the identity of the two workers, said that their actions would not be tolerated.

“This was probably the most expensive sex act that they’ve ever committed.’’