Answer:
22.35 hours
Step-by-step explanation:
We given that
Length of basement=50 foot
Breadth of basement =40 foot
Height of water in basement =18 inches
We have to calculate number of hours to remove the water from the basement
We know that 1 inch= 0.083 foot
18 inches =[tex]18\times 0.083[/tex]=1.494 foot
Volume of water in basement =[tex]50\times40\times 1.494[/tex]
Volume of water in basement =2988 cubic foot
We are given that 1 cubic foot =7.48 gallons
2988 cubic foot=[tex]7.48\times2988=22350.24 gallons[/tex]
Volume of water in basement =22350.24 gallons
In one hour, water can remove by pumping=1000 gallons
Time taken to remove 1 gallon of water by pumping =[tex]\frac{1}{1000}[/tex]
Time taken to remove 22350.24 gallons of water by pumping =[tex]\frac{22350.24}{1000}=22.35024[/tex]=22.35 hours
Hence, It will take 22.35 hours to remove the water from my basement .