# 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?

Correct result:

t =  52.5 min

#### Solution:

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

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