## Task 3 - 240623

Three motorcyclists, Rainer, Jürgen, and Frank, start from the same place in Karl-Marx-City at the same time; they drive on the same road in the direction of Leipzig.

Rainer covers a distance of 9 kilometers in every 10 minutes with his motorcycle, Jürgen drives 8 kilometers in every 10 minutes, and Frank only 6 kilometers.

How great are the distances between Rainer and Jürgen, between Rainer and Frank, and between Jürgen and Frank after one hour, if each driver has maintained their speed up to this point?
Since one hour is six times 10 minutes, each driver covers six times the distance they travel in 10 minutes in one hour. This leads to:

Rainer drives $6 \cdot 9=54$ and thus covers $54 \mathrm{~km}$ in one hour, Jürgen drives $6 \cdot 8=48$ and thus covers $48 \mathrm{~km}$ in one hour,

Frank drives $6 \cdot 6=36$ and thus covers $36 \mathrm{~km}$ in one hour.

Therefore, after one hour, due to $54-48=6$ or $54-36=18$ or $48-36=12$, the distances between Rainer and Jürgen are 6 km, between Rainer and Frank are 18 km, between Jürgen and Frank are 12 km.