## Task 2 - V10722

The route from Berlin to Karl-Marx-Stadt is served by Deutsche Lufthansa with aircraft of the AN 2 type. The aircraft takes off from Berlin at 09:45 and lands after 220 flight kilometers at 11:00 in Karl-Marx-Stadt.

An aircraft of the IL 14 P type takes off from Leipzig at 12:30 and lands in Barth at 14:05 after 443 flight kilometers.

In the express traffic of the Deutsche Reichsbahn, the D-train departs from Berlin at 6:42 and arrives in Magdeburg after a journey of 169 km at 8:59.

In what ratio do the average speeds of the three means of transport stand to each other?
The average speed is calculated as $v=\frac{s}{t}$.

Aircraft AN 2: $s_{1}=220 \mathrm{~km} ; t_{1}=85 \mathrm{~min}$, i.e., $v_{1}=\frac{220}{85}=2.59 \frac{\mathrm{km}}{\min } \approx 155 \frac{\mathrm{km}}{\mathrm{h}}$ Aircraft IL 14: $s_{2}=443 \mathrm{~km} ; t_{1}=95 \mathrm{~min}$, i.e., $v_{2}=\frac{443}{95}=4.66 \frac{\mathrm{km}}{\mathrm{min}} \approx 280 \frac{\mathrm{km}}{\mathrm{h}}$ Express Train: $s_{3}=169 \mathrm{~km} ; t_{1}=137 \mathrm{~min}$, i.e., $v_{1}=\frac{169}{137}=1.23 \frac{\mathrm{km}}{\mathrm{min}} \approx 74 \frac{\mathrm{km}}{\mathrm{h}}$

Setting up the required proportions: $155: 74=2.1$ and $280: 74=3.8$ and thus the required proportion is $v_{1}: v_{2}: v_{3}=2.1: 3.8: 1$.