Answer:
The answer is 72 hrs or 60 hrs
Step-by-step explanation:
Im not sure whether the answer is right. So you guys are gonna have to guess. :)
It will take 30 hours for the slower hose to fill the basin if the faster hose is not functioning.
Given that,
It takes 24 hours to fill a large basin with two hoses,
Where the water in one hose flows four times as fast as the other hose.
We have to determine,
How long will it take the slower hose to fill the basin if the faster hose is not functioning?
According to the question,
Let, the time taken by the faster hose to fill the pool be x hours.
Since a faster hose is 4 times faster than a slower hose so the time taken by a slower hose will be = 4x (It will take more time since it is slower)
Therefore, The equation can be written as,
[tex]\dfrac{1}{x} + \dfrac{1}{4x} = \dfrac{1}{24}\\\\\dfrac{4+1}{4x} = \dfrac{1}{24}\\\\\dfrac{5}{4x} = \dfrac{1}{24}\\\\4x = 5 \times 24\\\\4x = 120 \\\\x = \dfrac{120}{4}\\\\x = 30 \ hours[/tex]
Hence, It will take 30 hours for the slower hose to fill the basin if the faster hose is not functioning.
To know more about the Linear equation click the link given below.
https://brainly.com/question/13760328
