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Xavier can swim at a constant speed of 5/3 meters/second. He is trying to qualify for the N ational Swim Meet. To qualify, he must complete a 100-meter race in 55 seconds. Will Xavier be able to qualify? Why or why not?

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Answer:

Xavier will not be able to qualify because the speed required for him to qualify is greater than the speed at which he runs

Explanation:

Here, we want to know if Xavier will be able to qualify or not

His constant speed is 5/3 m/s

Now to win , he needs a speed of 100 m/55 sec = 20/11 m/s

So now, we need to know the bigger fraction between the two

Mathematically, that will be

5/3 - 20/11 = (55-60)/11 = -5/11

As we can see, the required speed is greater than what he can run

So this means that he will not be able to qualify

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