It will take 0.556 seconds for an echo to reach one's ears
Calculating the time to hear an echo
From the question, we are to determine how long it would take an echo to reach one's ears
From the formula,
[tex]Speed = \frac{2 \times distance \ travelled\ by \ sound}{Time}[/tex]
NOTE: To hear an echo, the sound will travel to and fro, hence, it will cover twice the distance
From the given information,
Distance = 92.0 m
NOTE: Speed of sound in air at 0 °C ≅ 331 m/s
Putting the parameters into the formula, we get
[tex]331 = \frac{2 \times 92.0}{Time}[/tex]
[tex]Time = \frac{2 \times 92.0}{331}[/tex]
Time = 0.556 secs
Hence, it will take 0.556 seconds for an echo to reach one's ears.
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