Assume you ingest 20 cells of Salmonella typhimurium in a chicken taco. Some of the bacteria are killed as they pass through the stomach but 10 viable cells survive and reach the intestine. Suppose further that the sum total of subsequent bacterial replication and death (caused by host immune mechanisms) produces an average generation time of 2.7 hours and that you will feel sick when there are 12,000,000 bacteria in your gut. How much time will elapse before you feel sick? Show your work.