The traffic flow on a highway has a flow rate of $2,000$ cars$/$hour and an average speed along the distance of $80$

$k\frac{m}{?}$ hour. After an accident, cars were unable to drive past and a queue formed. It was found that the traffic flow at The waiting area has a density of $160$ vehicles $\frac{?}{km}.$

Draw a Time$-$space diagram, listing all the shockwaves produced by the above event.

Find the speed of all the shock waves produced.

Find the rate of increase in the queue that occurs in cars$/$hour$.$