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Homework Statement
A boat is floating at rest in dense fog near a large cliff. The captain sounds a horn at water level and the sound travels through the salt water and the air (340 m/s) simultaneously.
The echo in the water takes 0.4s to return. How much additional time will it take for the echo in the air to return?
Homework Equations
##v = \frac{Δd}{Δt}##
The Attempt at a Solution
So my take is that ##Δt = 0.4s## for the water echo and a quick look on wiki told me the speed of sound under salt water is ##v = 1560 m/s##.
This yields ##Δd = vΔt = 624m##.
So the salt water echo takes 0.4 seconds to travel a total distance of 624 m at a rate of 1560 m/s.
Now I'm asked to find how much additional time will it take for the echo in the air to return? So I'm being asked to find ##Δt## for the sound in the air.
I'm given that ##v = 340 m/s## in the air ( By the question ) so the pieces look like they're going to fall together.
I just need to confirm one thing, would i still use ##Δd = 624m## in this next calculation? If so why? If not, why not?
EDIT : I forgot to mention the reason I'm doing this is because I know when I subtract the time it took for the air echo to come back by the time it took for the salt water echo to come back I will get the difference the question is asking for.
EDIT 2 : Nevermind I was reading this question incorrectly. I got my answer.
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