Respuesta :

Answer:

63 m        

Step-by-step explanation:

We are given the following in the question:

Average speed of swimming = 45 m/min

Time = 1 minute 24 seconds

Converting time into minutes:

[tex]=1 + \dfrac{\text{seconds}}{60}\\\\=1 + \dfrac{24}{60}\\\\=1.4\text{ minutes}[/tex]

Formula:

[tex]\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}[/tex]

Putting values, we get.

[tex]45 = \dfrac{\text{Distance}}{1.4}\\\\\text{Distance} = 45\times 1.4 = 63\text{ m}[/tex]

Thus, Alex swims for 63 m in 1 minute and 24 seconds.

Using the equation that relates velocity, distance, and time, it is found that he swims 63m in 1 minute and 24 seconds.

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Velocity is given by distance divided by time, thus:

[tex]v = \frac{d}{t}[/tex]

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  • Velocity of 45 meters per minute, thus, [tex]v = 45[/tex].
  • Time of 1 minute and 24 seconds, thus [tex]t = 1 + \frac{24}{60} = 1 + 0.4 = 1.4[/tex]

Solving for the distance, we find how far he swims, thus:

[tex]v = \frac{d}{t}[/tex]

[tex]45 = \frac{d}{1.4}[/tex]

[tex]d = 45 \times 1.4[/tex]

[tex]d = 63[/tex]

He swims 63m in 1 minute and 24 seconds.

A similar problem is given at https://brainly.com/question/24316569