Hi roesttezz!
I can understand why the wording of answer choice (B) makes it seem somewhat odd--after all, it seems like the pool's hours are what they are regardless of the age of somebody's child.
However, this involves a must be true question stem. With that type of question, many times the stimulus will have no conclusion but rather only several statements. And getting to the correct answer often involves manipulating the statements, such as taking contrapositives or chaining together conditional reasoning. So in some sense the correct answer choice makes sense in general given the question type--it's requiring one to think about conditional reasoning in the stimulus, which is likely to be tested if it's present on a must be true question.
Though it seems odd at first, that particular answer choice makes sense given the first sentence of the stimulus: "Everyone in Biba’s neighborhood is permitted to swim at Barton Pool at some time during each day that it is open." Effectively, this conveys the following conditional statement:
BN PS
If someone is in Biba's neighborhood, then that person is permitted to swim at Barton Pool at some point each day.
Answer choice (B) is a conditional statement that begins by referring to Biba's next-door neighbor's child who is under 6. It might seem like one doesn't know much or anything about this child, who isn't mentioned in the stimulus. But we do know that the child fits in the above conditional reasoning. The child is in Biba's neighborhood, so we know that the child is permitted to swim at Barton Pool at some point each day.
When could this child younger than 6 swim? The second sentence states that "No children under the age of 6 are permitted to swim at Barton Pool between noon and 5 P.M," so noon to 5 are out. We're also told that from 5 to close is reserved for adults. Thus we know that this child is permitted to swim at Barton Pool at some point each day, but not from noon until close. We can therefore infer that the child must be permitted to swim there at some point before noon, which, in turn, requires that the pool be open before noon.