Question

Pool A is leaking 9 gallons of water every two hours. Pool B is leaking 12 gallons of water every three hours. Which pool is leaking faster?

Options:
A. Pool A
B. Pool B
C. Both are leaking at the same rate
D. Insufficient data

Answer 1

Pool A leaks at a rate of 4.5 gallons per hour, which is faster than Pool B's rate of 4 gallons per hour. Hence, Pool A is leaking faster.

Step-by-step explanation:

Direct answer in two lines
Pool A is leaking faster than Pool B.
We compare the rates by calculating the gallons per hour for both pools.

Explanation in 200 words
To determine which pool is leaking faster, we need to standardize the time frame for comparison. Pool A is losing 9 gallons every 2 hours, while Pool B is losing 12 gallons every 3 hours. To find the leak rate per hour for each pool, we divide the number of gallons by the number of hours.
For Pool A: 9 gallons / 2 hours = 4.5 gallons per hour
For Pool B: 12 gallons / 3 hours = 4 gallons per hour
Comparing these rates, we see that Pool A has a higher leak rate of 4.5 gallons per hour compared to Pool B's 4 gallons per hour. Therefore, Pool A is leaking faster than Pool B. In order to determine which pool is leaking faster, we need to compare the rates of leakage of Pool A and Pool B. Pool A is leaking 9 gallons of water every 2 hours, which means it is leaking at a rate of 9/2 = 4.5 gallons per hour. Pool B is leaking 12 gallons of water every 3 hours, which means it is leaking at a rate of 12/3 = 4 gallons per hour. Therefore, Pool A is leaking faster than Pool B.