Consider the soil profile shown in the figure below. A highway fill. $y=120$ pcf$.17$ feet high is placed on the surface of the sand layer.

a$.$ Compute the settlement resulting from the end of primary consolidation of the clay.

b$.$ Compute the time $($days$)$ required to complete primary consolidation.

c$.$ Please propose a method to sherten the time of primary consolidation and explain how it works.

d$.$ Compute the settlement after $60$ days.

e$.$ Compute the settlement after $30$ years.

f$.$ If another fill $(y=120pcf,5$ feet high$)$is placed on the top of the old fill what is the additional settlement resulting from the primary consolidation?