Answer :
Sure, let's determine which tank is leaking faster by comparing the leak rates of Tank A and Tank B.
First, let's understand the given leak rates:
- Tank A leaks [tex]\(\frac{1}{12}\)[/tex] of a minute.
- Tank B leaks [tex]\(\frac{3}{80}\)[/tex] of a minute.
To compare the leak rates, we need to convert these rates to a common unit, which in our case is leaks per minute.
Step 1: Calculate the leak rate for Tank A
- Tank A leaks [tex]\(\frac{1}{12}\)[/tex] of a minute per unit time.
Step 2: Calculate the leak rate for Tank B
- Tank B leaks [tex]\(\frac{3}{80}\)[/tex] of a minute per unit time.
Step 3: Compare the leak rates
- Tank A:
[tex]\[
\text{Leak rate for Tank A} = \frac{1}{12} \approx 0.0833 \text{ leaks per minute}
\][/tex]
- Tank B:
[tex]\[
\text{Leak rate for Tank B} = \frac{3}{80} \approx 0.0375 \text{ leaks per minute}
\][/tex]
Now, comparing the two rates:
- Tank A leak rate: 0.0833 leaks per minute
- Tank B leak rate: 0.0375 leaks per minute
Since 0.0833 is greater than 0.0375, we can conclude that Tank A is leaking faster than Tank B.
So, the final answer is:
- Tank A is leaking faster.
First, let's understand the given leak rates:
- Tank A leaks [tex]\(\frac{1}{12}\)[/tex] of a minute.
- Tank B leaks [tex]\(\frac{3}{80}\)[/tex] of a minute.
To compare the leak rates, we need to convert these rates to a common unit, which in our case is leaks per minute.
Step 1: Calculate the leak rate for Tank A
- Tank A leaks [tex]\(\frac{1}{12}\)[/tex] of a minute per unit time.
Step 2: Calculate the leak rate for Tank B
- Tank B leaks [tex]\(\frac{3}{80}\)[/tex] of a minute per unit time.
Step 3: Compare the leak rates
- Tank A:
[tex]\[
\text{Leak rate for Tank A} = \frac{1}{12} \approx 0.0833 \text{ leaks per minute}
\][/tex]
- Tank B:
[tex]\[
\text{Leak rate for Tank B} = \frac{3}{80} \approx 0.0375 \text{ leaks per minute}
\][/tex]
Now, comparing the two rates:
- Tank A leak rate: 0.0833 leaks per minute
- Tank B leak rate: 0.0375 leaks per minute
Since 0.0833 is greater than 0.0375, we can conclude that Tank A is leaking faster than Tank B.
So, the final answer is:
- Tank A is leaking faster.