Question
One hose can fill a small swimming pool in 85 minutes. A larger hose can fill the pool in 40 minutes. How long will it take the two hoses to fill the poo working together?
Do not do any rounding.
Do not do any rounding.
Answers
GPT 3.5
Let x be the time it takes for the two hoses to fill the pool working together.
The rate at which the first hose fills the pool is 1 pool/85 minutes, and the rate at which the second hose fills the pool is 1 pool/40 minutes. Therefore, the combined rate at which the two hoses fill the pool is:
1/85 + 1/40 = 40/3400 + 85/3400 = 125/3400 pools/minute.
Since rate = work/time, we have:
125/3400 = 1/x
125x = 3400
x = 3400/125
x = 27.2
Therefore, it will take the two hoses 27.2 minutes to fill the pool working together.
The rate at which the first hose fills the pool is 1 pool/85 minutes, and the rate at which the second hose fills the pool is 1 pool/40 minutes. Therefore, the combined rate at which the two hoses fill the pool is:
1/85 + 1/40 = 40/3400 + 85/3400 = 125/3400 pools/minute.
Since rate = work/time, we have:
125/3400 = 1/x
125x = 3400
x = 3400/125
x = 27.2
Therefore, it will take the two hoses 27.2 minutes to fill the pool working together.