Question

The traffic flow has relationship between speed ( U in kmph) and density (k in vpkm) as U=40- 0.3k. The maximum flow is ________ vehicles per hour.

• A. 1334

Answer 1

The correct option is A 1334

$U=U_{sf}-\frac{U_{sf}}{K_j}K$
Comparing equation (i) with $U=40-0.3K,$
We have,
$U_{sf}=40$ and $\frac{U_{sf}}{K_j}=0.3$
$\therefore K_j=\frac{U_{sf}}{0.3}=\frac{40}{0.3}$
$\therefore q_{max}=\frac{U_{sf}\times K_j}{4}=\frac{40\times \frac{40}{0.3}}{4}=1333.33vph\simeq 1334vph$