## Task 2 - 030712

In the Peace Race in 1963, an individual time trial was held between Bautzen and Dresden (57 km).

The riders started at intervals of 1 minute. Immediately before the eventual overall winner Klaus Ampler (GDR), his toughest rival Vyncke (Belgium) started. While Ampler covered an average of 42 km per hour, Vyncke achieved a "pace" of 40 km per hour.

At what time and after how many kilometers would Ampler have caught up with the Belgian rider if both had ridden at a constant speed? Justify your answer!
Ampler covers on average $2 \mathrm{~km}$ more per hour than Vyncke. The latter had a $\frac{2}{3} \mathrm{~km}$ head start, so he would have been caught up by Ampler after $20 \mathrm{~min}$. In this time, Ampler would have covered $14 \mathrm{~km}$.