A constant head permeameter test was conducted on a well graded fine sand with a dry mass of $3\mathrm{.}085$ kg and specific gravity of $2\mathrm{.}69($i$.$e$.=2,690$ kg$/$m$3).$ The specimen was $20$ cm long, $10$ cm in diameter. Following application of a constant differential head of $50$ cm$,240$ cm$3$ of water was collected during $120$ seconds of discharge. Determine the $($a$)$ hydraulic conductivity, $($b$)$ seepage velocity, and $($c$)$ discharge velocity during the test.