A job processing system includes first and second job processing apparatuses. The first job processing apparatus includes the followings. A first calculation unit calculates first estimated completion time expected if the job is processed by the first job processing apparatus. A first transmission unit transmits the job and the first estimated completion time. The second job processing apparatus includes the followings. A reception unit receives the job and the first estimated completion time. The second calculation unit calculates second estimated completion time expected if the job is processed by the second job processing apparatus. The discarding unit discards the job if the first estimated completion time is earlier than the second estimated completion time. The notification unit notifies the first job processing apparatus of start of processing if the first estimated completion time is later than the second estimated completion time. The processed job transmission unit transmits the processed job.