A water trough is $10\,m$ long and a cross-section has the shape of an isosceles trapezoid that is $30\,cm$ wide at the bottom, $80\,cm$ wide at the top, and has height $50\,cm$. If the trough is being filled with water at a rate of $.2\,m^3/min$, how fast is the water level rising when the water is $30\,cm$ deep?

$m/min$