Question
Two pumps are being filled by two different pumps the first vat has 16 gallons is being at a rate of 19 gallons per second. The second vat has 39 gallons and is being filled at a rate of 15 gallons per second. After how many seconds after how many seconds will both vats have the same amount of liquid
Answers
GPT 3.5
Let x be the number of seconds needed for both vats to have the same amount of liquid.
The amount of liquid in the first vat after x seconds can be represented as:
16 + 19x
The amount of liquid in the second vat after x seconds can be represented as:
39 + 15x
To find the number of seconds it takes for both vats to have the same amount of liquid, we can set the two expressions equal to each other:
16 + 19x = 39 + 15x
Now, solve for x:
4x = 23
x = 5.75
Therefore, after 5.75 seconds, both vats will have the same amount of liquid.
The amount of liquid in the first vat after x seconds can be represented as:
16 + 19x
The amount of liquid in the second vat after x seconds can be represented as:
39 + 15x
To find the number of seconds it takes for both vats to have the same amount of liquid, we can set the two expressions equal to each other:
16 + 19x = 39 + 15x
Now, solve for x:
4x = 23
x = 5.75
Therefore, after 5.75 seconds, both vats will have the same amount of liquid.