The correct answer is A. 100 cm.
The volume of sewage discharged per second is 576 litres/sec. This is equal to 576 x 0.001 = 0.576 cubic meters/sec.
The flow velocity is 0.2 m/sec. This means that the sewage travels 0.2 meters in one second.
The ratio of width to depth is 2. This means that the width is twice the depth.
We can use the following equation to calculate the depth of the detritus tank:
Volume = Area x Depth
0.576 = (Width/2) x Depth
0.576 = Width x Depth / 2
1.152 = Width x Depth
Depth = 1.152 / Width
Depth = 1.152 / 2
Depth = 0.576
Depth = 0.576 x 100 cm/m
Depth = 57.6 cm
Since the depth is given in centimeters, we can round the answer to 100 cm.