$16$

$5.$ In order to fully utilize the width of the approaching lines to a signal having two$-$phase control and effective green times of $g_1$ and $g_2,$ it is assumed that maximum possible rate of flow across the stop line was proportional to the width of the approaches, $w_1,$ and $w_2$ as shown in Fig. $2.$ Identify the values of the minimum widths of the sections with lengths $d_1$ and $d_2$ that would maximize the flows during fully saturated conditions.

Fig. $2$