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(B) Let the total land area be $x$ and the total water area be $2x$. The total area of the Earth is $3x$.The area of each hemisphere (Northern and Sou

Vedclass · Accepted Answer

$4:11$

Vedclass · Answer

(B) Let the total land area be $x$ and the total water area be $2x$. The total area of the Earth is $3x$.The area of each hemisphere (Northern and Southern) is half of the total area,which is $\frac{3x}{2}$.In the Northern Hemisphere,the ratio of land to water is $2:3$. The total parts are $2+3=5$.Land in the Northern Hemisphere $= \frac{2}{5} 	imes \frac{3x}{2} = \frac{3x}{5}$.Water in the Northern Hemisphere $= \frac{3}{5} 	imes \frac{3x}{2} = \frac{9x}{10}$.Now,calculate the land and water in the Southern Hemisphere:Land in the Southern Hemisphere $= 	ext{Total Land} - 	ext{Land in Northern Hemisphere} = x - \frac{3x}{5} = \frac{2x}{5}$.Water in the Southern Hemisphere $= 	ext{Total Water} - 	ext{Water in Northern Hemisphere} = 2x - \frac{9x}{10} = \frac{11x}{10}$.The required ratio of land to water in the Southern Hemisphere is $\frac{2x/5}{11x/10} = \frac{2}{5} 	imes \frac{10}{11} = \frac{4}{11}$,which is $4:11$.

On the entire Earth,the ratio between land and water is $1:2$,and in the Northern Hemisphere,this ratio is $2:3$. What will be the ratio of land to water in the Southern Hemisphere?

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