Question $2$

$($b$)$ The rainfall hyetograph resulting from a storm lasting for four hours is shown in Table Q$2\mathrm{.}1.$ The $10$ mm $,1$ hr unit hydrograph for the catchment is shown in Table Q$2\mathrm{.}2.$ If the total losses varied throughout the storm as shown in Table Q$2\mathrm{.}3,$ determine the hydrograph of the quick response runoff.

$(14$ marks$)$

Table Q$2.1$

$\backslash$table$[[$Time $($hr$),1,2,3,4],[$Rainfall $($mm$),20,40,50,10]]$

Table Q$2.2$

$\backslash$table$[[$Time $(hr),0,1,2,3,4,5,6,7,8,9,10,11],[\backslash$table$[[10$ mm $1$ hr U$.$H$.],[$ordinates $(\frac{m^3}{s})$