After reaching steady$-$state conditions, the pump test yielded a flow rate of $\backslash (20\backslash$mathrm$\{$~L$\}/\backslash$mathrm$\{$s$\}\backslash ).$ The aquifer is an alluvial soil with medium$-$to$-$coarse silty sand texture. The water depth measured from the ground surface in the pumping well as well as the three observation wells $\backslash (\backslash$mathrm$\{$A$\},\backslash$mathrm$\{$B$\}\backslash )$ and C were all at $16\mathrm{.}9$ m before the pumping test started and dropped to $\backslash (26\mathrm{.}0,23\mathrm{.}5,18\mathrm{.}1\backslash )$ and $16\mathrm{.}9$ m $,$ respectively at steady$-$state conditions. Using best available data:

a$)(10$ marks$)$ Compute the hydraulic conductivity of the soil in the aquifer, and

b$)(10$ marks$)$ Compute how many hours would it take for a conservative tracer that is injected in the observation well A to reach the pumping well during this test?