Working together they would fill two pools in 120 minutes so therefore they would fill one pool in 60 minutes
Answer:
It will take 22.5 minutes the pool with the two hoses.
Step-by-step explanation:
In this case we have to propose equations that could describe the filling of pool by the small and large hose, then sum them and find the time of fill with both:
Small hose: [tex]Volume=\frac{Volume}{90} *Time[/tex]
Large hose: [tex]Volume=\frac{Volume}{30} *Time[/tex]
Where Volumen is the total volume of the pool and Time is the total time of fill using the two hoses, now adding them:
[tex]Volume=\frac{Volume}{90} *Time+\frac{Volume}{30} *Time[/tex]
We can clear the time:
[tex]Volume=\frac{3*Volume*Time+Volume*Time}{90}[/tex]
[tex]Volume=\frac{4*Volume*Time}{90}[/tex]
[tex]Time=\frac{90}{4}[/tex]
[tex]Time=22.5[/tex]
It will take 22.5 minutes the pool with the two hoses.
