Consider the process below which is a two tanks connected by pipe

$A_1=A_2=5m^2$

Initially the tanks are empty, if water is suddenly oppened to tank one at a rate of $l\frac{m^3}{m}in,$ calculate: $-$

$(1)$ The height in tank one and tank two as a function of time

$(2)$ what is the steady state leveles in both tanks $(t)$

$(3)$ Do you expect the tanks to over flow? $($veglect friction in pipe$)$