- #1

mathmari

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A cyclist, constantly driving forward, covers a distance of $80$ km in exactly $2$ hours. Show that there is a $1$-kilometer section of this journey that he covers in exactly $1.5$ minutes.

Hint: Continuity of the inverse function.

So we have to define a function $\phi :T\rightarrow K, \ x\mapsto \frac{120x}{80}$, where $T$ is the set of time and $K$ is the set of kilometer. Or can we not just define the function like that?

Then we want to show that there is a $y$ such that $\phi (y)=1,5$ and that $y=1$, right?

:unsure: