Answer :
Final answer:
Container B is leaking water more rapidly than container A.
Explanation:
To determine which container is leaking water more rapidly, we can compare the rates at which each container is leaking. Container A is leaking at a rate of 2/3 gallon every 1/4 hour, which can be simplified to 8/12 gallon every 1/4 hour. Container B is leaking at a rate of 3/4 gallon every 1/3 hour, which can be simplified to 9/12 gallon every 1/3 hour.
To compare these rates, we need to find a common denominator. The least common multiple of 12 and 3 is 12, so we can rewrite the rates as 8/12 gallon every 1/4 hour and 9/12 gallon every 1/3 hour.
Now we can compare the rates directly. Since 8/12 is less than 9/12, container A is leaking water at a slower rate than container B. Therefore, container B is leaking water more rapidly.
