A particular type of bacteria can under optimal conditions double every 19 minut

Question

A particular type of bacteria can under optimal conditions double every 19 minutes. Imagine that just after a 6 L culture became saturated with bacteria, a researcher poured the saturated culture into an amount of fresh culture that was three times the initial amount of culture (e.g., 5 L original culture is poured into 15 L of fresh culture). How long would it take for this total volume of culture to become saturated again, assuming that optimal conditions prevailed and that no cells died? Enter your answer to the nearest minute.

Explanation / Answer

The bacterium doubles every 19 minutes and as such if 5 liter bacterial mass is added to 15 litre culture,then after 19 minutes 10 liter volume of culture will be filled.Consequenlty it will take 18minutes of next generation time to fill the 15 L culture.therfeore, the total time that will be taken by the bacteria to fill 15 L culture will be 19+18=37 minutes.

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