Math, asked by bairimadhu9, 9 months ago

Logic question: The water level in a reservoir is low, but doubles every day. It takes 60 days to fill the reservoir. How long does it take for the reservoir to become half full?

Answers

Answered by amitnrw
2

Given  : The water level in a reservoir is low, but doubles every day. It takes 60 days to fill the reservoir  

To Find : How long does it take for the reservoir to become half full

Solution:

Let say reservoir on 1st day  = a

on 2nd day = a* 2 = 2a   = 2¹ * a

0n 3rd day  = 2a * 2  = 4a   = 2² * a

on 60th Day  =  2⁶⁰⁻¹ * a  = 2⁵⁹ * a

Full = 2⁵⁹ * a

Half = 2⁵⁹ * a /2  

= 2⁵⁸ * a

= 2⁵⁹⁻¹ * a

= 59th Day  

It will take 59 days for reservoir to become half full

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