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## Homework Statement

A ship sends a sonar signal to the bottom of the ocean, 4000 m below. The speed of sound in the seawater under the conditions of the problem is 1500 m/s How much time elapses between the transmission of the signal and the reception of its echo?

## Homework Equations

Given: [tex]^V{}_{s}[/tex] = 1500 m/s

Δd = 4000 m (The speed of sound in the water in the given conditions

Required: Δt

Analysis: [tex]^V{}_{s}[/tex]= [tex]\frac{\Delta d}{\Delta t}[/tex]

## The Attempt at a Solution

I drop the [tex]\Delta d[/tex] down to the denominator and also bring it across to be the denominator on the other side.

[tex]\frac{^V{}_{s}}{\Delta d}[/tex] =[tex]\frac{\Delta d}{\Delta t \Delta d}[/tex]

I cancel out the [tex]\Delta d[/tex] and end up with

[tex]\Delta d[/tex]= [tex]\frac{^V{}_{s}}{\Delta t}[/tex]

I know my math isn't correct here because I have the correct answer in front of me

I just don't know how they did it. This is what the textbook has

[tex]\Delta t[/tex]= [tex]\frac{\Delta d}{^V{}_{s}}[/tex]

Can you please explain to me how they did this.

Thank you

Scott