exam Maths Puzzle Numerical Ability

This involves a circular pool. When it rains, the water falls off the top rim of the pool, splashes onto the ground and causes a muddy ring to form on the bottom of the pool wall,

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This is subtracting a rational equation. I am not able to get it. Page 444 problem # 40 ( ISBN 0536269610)

5 30
___ - ______ = 1
y-3 y^2-9
or...

5/(y-3) - 30/y^2-9 = 1
( a + 4b) - (a + b)
__ ___
3 3