Respuesta :
Answer:
The time taken to fill the pool is 45 minutes.
Step-by-step explanation:
Given : A swimming pool is being filled at the rate of 12 cubic yards per minute. If the pool is 18 yards long, 10 yards wide, and 3 yards deep.
To find : How many minutes will it take to fill the pool?
Solution :
First we find the volume of the swimming pool.
Dimension of pool,
Length = 18 yards
Wide = 10 yards
Depth = 3 yards
The volume of the pool is
[tex]V=l\times w\times h[/tex]
[tex]V=18\times 10\times 3[/tex]
[tex]V=540[/tex]
The volume of the swimming pool is 540 yard cube.
The rate of filling the pool is r=12 cubic yards per minute.
We know, Time taken is
[tex]Time=\frac{Volume}{rate}[/tex]
[tex]Time=\frac{540}{12}[/tex]
[tex]Time=45[/tex]
Therefore, The time taken to fill the pool is 45 minutes.