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14 October, 14:56

The speed of sound in air at 20° C is 343 m/s. Its speed in water at 20° C is 1,483 m/s. How much longer would it take for sound in air to travel 10 km than in water?

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  1. 14 October, 17:38
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    22.41 seconds longer

    Explanation: Sound is a longitudinal wave that requires a material medium for transmission hence called a mechanical wave. Examples of medium in which sound travels in are water and air.

    From the question give;

    Speed of sound in air at 20°C is 343 m/s

    Speed of sound in water at 20°C is 1,483 m/s

    We are given a distance of 10 Km or 10,000 m

    We need to finder how much longer it will take for the sound to travel in air.

    Time = Distance : Speed

    Therefore;

    Time taken in Air = Distance : speed of sound in air

    = 10000 m : 343 m/s

    = 29.15 seconds

    Time taken in water = Distance : speed of sound in water

    = 10,000 : 1,483 m/s

    = 6.74 seconds

    Difference in time = 29.15 seconds - 6.74 seconds

    = 22.41 seconds

    Therefore, it takes 22.41 seconds longer for sound to travel through air than water.
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