## Task 2 - 010732

In the summer of 1961, the Dresden Master of Sports Gerhard Wissmann set a new gliding record in the triangular flight. He covered the distance Zossen - Storkow - Golßen - Zossen in 1 hour 1 minute 30 seconds.

On a map with a scale of 1:750000, we determine the following distances: Zossen-Storkow 4.5 cm, Storkow-Golßen 5.2 cm, Golßen-Zossen 3.9 cm. To the calculated distance, we must add 4 km for detours during the course changes.

a) What average speed did Gerhard Wissmann achieve?

b) By what percentage was his speed higher than that of the West German record holder Ernst-Günter Haase, who covered a distance of 100 km in 1 hour 12 minutes?
The flown distance was $750000 \cdot(4.5+5.2+3.9) \mathrm{cm}+4 \mathrm{~km}=106 \mathrm{~km}$.

1. As an average speed, Gerhard Wissmann achieved $\frac{106 \mathrm{~km}}{1 \frac{1}{40} \mathrm{~h}}=103 \frac{17}{41} \frac{\mathrm{km}}{\mathrm{h}}$.
2. His competitor Ernst-Günter Haase only reached $\frac{100 \mathrm{~km}}{1 \frac{1}{5} \mathrm{~h}}=83 \frac{1}{3} \frac{\mathrm{km}}{\mathrm{h}}$, so the new record holder exceeded the old one by $24 \%$.