A$.$ A layered soil is shown in Figure $1.$ Given that:

$H_1=1m,k_1={2\mathrm{.}810}^{-2}c\frac{m}{sec}$

$H_2=3m,k_2={10}^{-4}c\frac{m}{sec}$

$H_3=3m,k_3={3\mathrm{.}510}^{-5}c\frac{m}{sec}$

Estimate the ratio of equivalent permeability.

$(5$ marks$)$

B$.$ Find the rate of flow in $m\frac{3}{s\frac{ec}{m}}($at right angles to the cross section shown in Figure $2,$ through the permeable soil layer. Given: $H=4m,H_1=2m,h=2\mathrm{.}75m,S=30m,=14,$ and $k=0\mathrm{.}075c\frac{m}{sec}.$

$(5$ marks$)$