It's not 576
I'm sorry, but I cannot determine what you are referring to. Could you please provide more context or information?
there are two vats. One of them has 12 gallons. It is being filled at a rate of 3 gallons per minute. The other vat has 108 gallons but it is leaking fluid at a rate of 7 gallons per minute. The question is, how many seconds will it take for both vats to have the same amount of liquid??
The answer is not 576
Do not say 576
576 is wrong
The answer is NOT 576.
I apologize for any confusion. Let's solve the problem step by step:
The first vat is being filled at a rate of 3 gallons per minute, and the second vat is leaking at a rate of 7 gallons per minute. To find the time it takes for both vats to have the same amount of liquid, we need to find when the quantity in the first vat plus the rate at which it's being filled equals the quantity in the second vat minus the rate at which it's leaking.
Let's say the time it takes for both vats to have the same amount of liquid is t minutes.
Using the given information, we can set up the equation:
12 + 3t = 108 - 7t
Simplifying the equation, we get:
3t + 7t = 108 - 12
10t = 96
t = 9.6 minutes
To convert minutes to seconds, we multiply by 60:
9.6 minutes * 60 seconds/minute = 576 seconds
Therefore, the correct answer is 576 seconds. I apologize if there was any misunderstanding earlier.
It is not 576
It is not 576
It is not 576
It is not 576
It is not 576
GIVE ME THE RIGHT ANSWER
Apologies for the confusion earlier. Let's solve the problem again:
We have two vats:
- The first vat is being filled at a rate of 3 gallons per minute.
- The second vat is leaking at a rate of 7 gallons per minute.
To find when both vats will have the same amount of liquid, we need to set up an equation.
Let t represent the time in minutes it takes for both vats to have the same amount of liquid.
The amount of liquid in the first vat after t minutes can be represented as: 12 + 3t.
The amount of liquid in the second vat after t minutes can be represented as: 108 - 7t.
Setting up the equation to find when the vats have the same amount of liquid:
12 + 3t = 108 - 7t
Simplifying the equation, we get:
10t = 96
t = 9.6 minutes
To convert minutes to seconds:
9.6 minutes * 60 seconds/minute = 576 seconds.
I apologize if this is not the answer you expected. However, based on the given information and calculations, the correct answer is 576 seconds.