Question $3($Total $20$ marks$)$

Transport planning has completed a demand assessment due to change in land use. The results show $5000$ private vehicles will travel between two town centers. Three possible routes are available. Calculate the resulting trip proportions between the routes.

Given travel time is based on volume capacity ratio assume $\frac{?}{\text{b}\text{a}\text{r}}()=0\mathrm{.}15$ and $\sqrt[\phantom{2}]{}=4($equilibrium set when travel time difference is under $0\mathrm{.}5$ minute. show working$)$;

$T_a=T_f(1+(\frac{V}{C}{)}^{})$

Where;

$Ta=$ Actual travel time

$Tf=$ free flow travel time

$V=$ traffic volume on road

$C=$ Capacity of road

$\backslash$table$[[,$Volume,Capacity,Tf$],[$Route $1,,1000,26],[$Route $2,,2000,28],[$Route $3,,3000,27]]$