Answer:
0.667 s; faster in the ocean
Explanation:
Since the sound wave travels with a uniform motion (= at constant velocity), the time it takes to reach your ear will be given by the formula
[tex]t=\frac{d}{v}[/tex]
where
d is the distance it has to cover
v is the speed of the sound wave
Here we have
d = 1000 m is the distance
v = 1500 m/s is the approximate speed of sound in fresh water
Substituting,
[tex]t=\frac{1000}{1500}=0.667 s[/tex]
We also want to compare the time if you are swimming in the ocean.
In the ocean, due to the higher density of the water (because of the presence of the salt), the speed of sound is slightly larger, in fact it is:
[tex]v=1531 m/s[/tex]
Therefore, the time taken in this case will be:
[tex]t=\frac{1000}{1531}=0.653 s[/tex]
Therefore, the sound will reach your ear a bit faster.
