box barge $100$ m long, $12$ m beam and $4$ m draught has a compartment at

the extreme fore end $8$ m long, subdivided by a horizontal watertight flat $2$ m above the keel. The centre of gravity is $3$ m above the keel.

Calculate the end draughts if the compartment is bilged:

$$at the flat, water flowing into both compartments

$$below the flat

$$above the flat.