Question

A scuba diver is swimming 15 feet below the water’s surface. The diver swims up slowly at 0.5 feet per second for 4 seconds; and then stops to look at an eel. Finally, the diver swims up for 3 more seconds at 0.4 feet per second. What is the diver’s new depth

Answer 1

0.5 x 4 = 2 feet / 2 feet in 4 seconds
15 - 2 = 13
New depth: 13 feet

0.4 x 3 = 1.2 feet / 1.2 feet in 3 seconds
13 - 1.2 = 11.8
New depth: 11.8 feet

Answer 2

Answer: The diver's new depth is 11.8 feet below the water's surface.

Explanation:

Since we have given that

Depth below the water's surface = 15 feet

The diver swims up slowly at 0.5 feet per second for 4 seconds.

Number of miles he swims up is given by

`0.5* 4\\\\=2\ feet`

Number of miles he swims up for 3 more seconds at 0.4 feet per second.

So, Number of miles he swims up is given by

`0.4* 3\\\\=1.2\ feet`

So, the diver's new depth would be

`-15+2+1.2\\\\=-15+3.2\\\\=-11.8\ feet`

Hence, the diver's new depth is 11.8 feet below the water's surface.