How long will an air supply that lasts 18 minutes on a 66-foot dive last on a 33-foot dive?

To determine how long an air supply that lasts for 18 minutes at a depth of 66 feet will last at a depth of 33 feet, it is essential to understand the relationship between depth, pressure, and air consumption while diving.

When diving, air consumption rates typically increase with greater depths due to the increased ambient pressure. At 66 feet, the pressure is about 3.0 atmospheres (1 atmosphere at sea level plus an additional 2 atmospheres for the water), while at 33 feet, the pressure is around 2.0 atmospheres.

Given that the air supply lasts 18 minutes under the higher pressure at 66 feet, you can deduce that at the lower pressure of 33 feet, the diver will consume air more slowly because of the reduction in pressure.

Mathematically, you can calculate the potential duration of air supply at 33 feet by considering the difference in pressure:

• The air supply at 66 feet lasts for 18 minutes corresponds to 3 atmospheres.

• At 33 feet, with only 2 atmospheres of pressure, the diver effectively has a longer air supply due to decreased air consumption.

By comparing the ratio of the pressures:

• 66 feet =