From the information given, we know that the water depth was initially d, then it increases by 25%, then we can express the equation:
final depth= d + 0.25*d
52=d + 0.25d, factoring d, we get:
52=d(1+0.25)
52=d(1.25)
From this equation, we can solve for d, like this:
52=1.25d
52/1.25=1.25d/1.25
52/1.25=d
d=52/1.25=41.6
Then, the depth of the water reservoir was initially 41.6 meters
