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
![V=l\times w\times h](https://tex.z-dn.net/?f=V%3Dl%5Ctimes%20w%5Ctimes%20h)
![V=18\times 10\times 3](https://tex.z-dn.net/?f=V%3D18%5Ctimes%2010%5Ctimes%203)
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
![Time=\frac{Volume}{rate}](https://tex.z-dn.net/?f=Time%3D%5Cfrac%7BVolume%7D%7Brate%7D)
![Time=\frac{540}{12}](https://tex.z-dn.net/?f=Time%3D%5Cfrac%7B540%7D%7B12%7D)
![Time=45](https://tex.z-dn.net/?f=Time%3D45)
Therefore, The time taken to fill the pool is 45 minutes.