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Michaela holds her state high school record for the 500-meter freestyle swimming event, completing it in 4 minutes and 50 seconds. At this same rate, how far will she swim in 10 minutes?

Answer :

First, we convert the record time from minutes and seconds into minutes. Since Michaela's record is 4 minutes and 50 seconds, we write this as

[tex]$$
4 + \frac{50}{60} = 4.83333\ldots \text{ minutes}.
$$[/tex]

Next, because she covers 500 meters in [tex]$4.83333\ldots$[/tex] minutes, her swimming rate is

[tex]$$
\text{Speed} = \frac{500}{4.83333\ldots} \approx 103.44828 \text{ meters per minute}.
$$[/tex]

To find out how far she will swim in 10 minutes, we use the rate calculated above:

[tex]$$
\text{Distance} = \text{Speed} \times \text{Time} = 103.44828 \times 10 \approx 1034.4828 \text{ meters}.
$$[/tex]

Thus, at the same rate, Michaela will swim approximately

[tex]$$
1034.48 \text{ meters in 10 minutes}.
$$[/tex]

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