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Experiments with bacteria

Experiments with bacteria

A species of bacteria that is used to synthesize insulin in the laboratory, reproduces by dividing in two every day so that if we have a bacterium today, tomorrow we will have two, the day after tomorrow four, etc. In 30 exact days a 30ml test tube is completely filled.

How long will it take to fill the same test tube if we start the experiment with two bacteria?

Solution

It takes a day less, that is, 29 days since we were in the same situation as if we had started the experiment with a bacterium and it had been the first day in which the bacterium had split in two.