Final answer:
Bucket B is filling faster than Bucket A.
Step-by-step explanation:
To determine which bucket is filling faster, we need to compare the rates at which each bucket is filling up. Bucket A is filling at a rate of ½ cup per 2/3 minutes, which can be simplified to 3/2 cup per minute. Bucket B is filling at a rate of 1/3 cup per ¼ minutes, which can be simplified to 4/3 cup per minute. Comparing these rates, we can see that Bucket B is filling faster as it fills at a rate of 4/3 cup per minute, while Bucket A fills at a rate of 3/2 cup per minute.