Q.
A bacteria undergoes binary fission in every minute. This bacterium can fill up a cup in 1 hour. In how much time will the cup be half filled?
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Solution:
A bacterial cell divides into two bacterial cells in one minute. In each minute, the number of bacterial cells gets doubled. So, half cup of bacteria will divide all in a minute and double their numbers to fill the cup in another one minute. If it takes 60 minutes by the bacteria to fill the entire cup, half cup must have been filled in one minute less then 60 minutes, which is 59 minutes. After that, in one minute, another half of the cup will be filled.