A diver is working 10 feet below the surface of the water. The gap between the water and the deck of his support barge is 1/8 of the total length of the air hose and 2/3 of the total length remains on the reel. What is is maximum working depth?

if the length of the hose is x,

x - x/8 - 2x/3 = 10
x = 48

so, max working depth is 48 = 6 = 42 ft.