Question

There is a body of water that starts with 1 square unit, and doubles in size every day (2 units after 2 days, 4 units after 4 days). It takes 100 days to fill up. How many days would it take to fill if you started with 2 square units?

Answer 1

Answer:99 days

Step-by-step explanation:

Given

If one start with one square unit it takes 100 days

i.e. At second day it is 2 unit

third day $2^2$

at n th day $2^{n-1}$

at 100 day $2^{99}$ square unit

If we start with 2 square units it would take

$2^n$ for n days

$2^n=2^{99}$

$n=99\ days$