A filter

It is a pool with a volume of 3500 liters. The filter filters at 4m cubic per hour. How many minutes would it filter the entire pool?

Result

t =  52.5 min

Solution:

$V = 3500 \ l = 3500 / 1000 \ m^3 = 3.5 \ m^3 \ \\ Q = 4 \ m^3/h \ \\ \ \\ T = V/Q = 3.5/4 = \dfrac{ 7 }{ 8 } = 0.875 \ h \ \\ \ \\ t = T \rightarrow min = T \cdot \ 60 \ min = 52.5 \ min = \dfrac{ 105 }{ 2 } = 52.5 \ \text{ min }$

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