If a bacteria spreads its bacteria in a lake for every minute it gets doubled so that it can fill the lake in 20 min .if two bacteria are there how much will they take to fill the lake
After 20 min. there will be 2^20 bacteria
The answer is 19 minutes.
Initially, there is 1 bacteria. After 1 minute, it becomes 2. So, if there are 2 bacteria initially, it will take one minute less. Thus, answer is 20-1 = 19 minutes.
To find out how long it will take for two bacteria to fill the lake, we can follow the same pattern as described in the question.
According to the question, a bacteria doubles in number every minute. This means that the first minute we have 1 bacteria, the second minute we have 2 bacteria, the third minute we have 4 bacteria, and so on.
If a bacteria can fill the lake in 20 minutes, and it doubles in number every minute, then on the 19th minute, there will be half the number of bacteria needed to fill the lake.
Therefore, if it takes 20 minutes for one bacteria to fill the lake, it will take 19 minutes for the number of bacteria to reach half of the lake-filling capacity. At this point, there will be 2^19 bacteria.
Since we already have the starting condition of two bacteria, we can add the number of bacteria at the 19th minute to the starting condition to get the total number of bacteria that will fill the lake. So, the answer is:
2 + 2^19 = 2 + 524,288 = 524,290
Therefore, it will take two bacteria approximately 19 minutes to fill the lake.