Xavier can swim at a constant speed of 5/3 meters/second.

a. What is the ratio of the number of meters to the number of seconds?

b. Xavier is trying to qualify for the National Swim Meet. To qualify, he must complete a 100-meter race in 55 seconds. Will Xavier be able to qualify? Why or why not?

c. Xavier is also attempting to qualify for the same meet in the 200-meter event. To qualify, Xavier would have to complete the race in 130 seconds. Will Xavier be able to qualify in this race? Why or why not?

A. 5 meters every 3 seconds or 1,667 meters every second

B. No. He is not fast enough to cover the distance required on the time specified by the judges or the event

C. Yes. He has more time to cover the distance in this event, so his current average speed is enough for him to have the opportunity to qualify.

Step-by-step explanation:

The statement tells us that Xavier Swims at a constant speed of 5/3 meters/second. This means that every 3 seconds, Xavier travels 5 meters. It can also be considered that Xavier swims 1,667 meters every second.

To complete 100 meters on 55 seconds, Xavier would have to Swim 1,82 meters every second, dividing 100 meters between 55 seconds. Currently, Xavier can't achieve that speed so he would not qualify. However, on the 200-meter event he has more time to cover the distance and would need to swim 1,54 meters every second wich is below its current speed. To the second event, Xavier might qualify.