A rectangular swimming pool with a flat bottom is 20 feet by 12 feet. How long will it take to fill the swimming pool to 5 feet
2 answers:
The given dimensions of the rectangular swimming pool are =
Length = 20 feet
Width = 12 feet
Height upto which the water should be filled up = 5 feet
So, the total volume of water needed to fill the pool will be =
cubic feet
The water is pumped at a speed of = 30 cubic feet per minute.
So, to fill 1200 cubic feet, the time taken will be =
Hence, it will take 40 minutes to fill the pool.
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Answer:
Step-by-step explanation:
Let:
This is and exact equation, because:
So, define f(x,y) such that:
The solution will be given by:
Where C1 is an arbitrary constant
Integrate with respect to x in order to find f(x,y):
Where g(y) is an arbitrary function of y.
Differentiate f(x,y) with respect to y in order to find g(y):
Substitute into
Integrate with respect to y:
Substitute g(y) into f(x,y):
The solution is f(x,y)=C1
Solving y using quadratic formula: