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

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`