## Task 3 - 010623

On a hike, Rudolf says: "The distance from here to Neustadt is greater than $5 \mathrm{~km}$." Emil says: "The distance to Neustadt is less than $5 \mathrm{~km}$."

Robert says: "One of them is right."

Now we know that Robert made a false statement. What is the actual distance?
Rudolf and Emil cannot both be right, as their statements contradict each other. Therefore, neither of them is right. This means that the distance to Neustadt is neither greater nor less than $5 \mathrm{~km}$, so it must be exactly $5 \mathrm{~km}$.