## Task 1 - 230721

Uwe's way to school passes by the town hall and the train station. At the town hall, Uwe has completed a quarter of the journey; the town hall clock shows 7:30 AM. At the train station, Uwe has covered a third of the journey; the train station clock shows 7:32 AM.

At what time does Uwe arrive at school if he walks the entire way at a constant speed?
If the way to the town hall is exactly $\frac{1}{4}$ of the total distance and the way to the train station is exactly $\frac{1}{3}$ of the total distance, then the way from the town hall to the train station (since $\frac{1}{3}-\frac{1}{4}=\frac{1}{12}$) is exactly $\frac{1}{12}$ of the total distance.

If the way to the train station is exactly $\frac{1}{3}$ of the total distance, then the way from the train station to the school is exactly $\frac{2}{3}=\frac{8}{12}$ of the total distance.

Since Uwe needed exactly 2 minutes for $\frac{1}{12}$ of the total distance, he needed exactly 16 minutes for $\frac{8}{12}$ of the total distance. Since Uwe was at the train station at 7:32 am, he will consequently arrive at the school at 7:48 am.