Answer:
[tex]170\frac{2}{3} hrs[/tex]
Explanation:
in every 20 minutes the prokaryote divides to produce one of itself .
Mathematically,
20 mins:1 of its kind
x mins :512 of its kind
Where x is the amount of time (in minutes) needed by the prokaryote to produce 512 of its kind.
This implies that,
By cross multiplying we obtain,
[tex]x = 20 \times 512 = 10240mins[/tex]
We now convert the time in minutes into hours.
Knowing very well that 60 minutes equals an hour, to convert 10240 minutes to hour we divide by 60.
This implies that,
[tex]10240 \div 60 = 170 \frac{2}{3} [/tex]