Problem $1\mathrm{.}11$:

Consider a long road with two traffic lanes, where all the vehicles on the left traffic lane travel at $60k\frac{m}{h}$ and the vehicles on the right lane at $120k\frac{m}{h}.$ All the vehicles on the first traffic lane that passed a detector during a $1-$minute time interval can be found on a $1km$ long road section. For the right traffic lane, the length of this road section equals $2km.$ Thus, when the TMS is assessed, faster cars are considered over a much longer road section than slower cars. When we calculate SMS$,$ and also when we calculate density, the length of the road section used is the same for fast and slow cars. Therefore, the proportion of fast vehicles is overestimated when calculating TMS thus making it always larger than or equal to the SMS$.$