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 legnth of the air hose , and 3/4 of the total legnth remains on the reel. What is the maximum working depth without a change of equiptment?
Answer: _______ feet
To find the maximum working depth without a change of equipment, we need to calculate the length of the air hose.
Let's assume that the total length of the air hose is x feet.
According to the problem, the gap between the water and the deck of the support barge is 1/8 of the total length of the air hose. So, the gap is (1/8) * x feet.
We also know that 3/4 of the total length remains on the reel. So, the length of the air hose that is not in use is (3/4) * x feet.
To find the length of the air hose that is being used, we subtract the length not in use from the total length: x - (3/4) * x = (1 - 3/4) * x = (1/4) * x.
Now, let's find the maximum working depth. The diver is working 10 feet below the surface of the water. So, we can subtract this distance from the length of the air hose that is being used: (1/4) * x - 10.
Therefore, the maximum working depth without a change of equipment is (1/4) * x - 10 feet.
We don't have the value of x, so we can't provide the exact answer. But if you provide the value of x, we can calculate the maximum working depth for you.