Final answer:
Bucket B fills faster as its rate is approximately 0.929 cups per minute compared to Bucket A's rate of approximately 0.522 cups per minute.
Step-by-step explanation:
To determine which bucket is filling faster, we need to compare the rates of Bucket A and Bucket B. We do this by calculating how many cups each bucket fills per minute.
Bucket A fills at a rate of 12 cups per 23 minutes, which is approximately 0.522 cups per minute (12/23 ≈ 0.522).
Bucket B fills at a rate of 13 cups per 14 minutes, which is approximately 0.929 cups per minute (13/14 ≈ 0.929).
Comparing the rates, we can see that Bucket B's rate of 0.929 cups per minute is faster than Bucket A's rate of 0.522 cups per minute. Therefore, Bucket B is filling faster.