## Task 1 - 040621

A pipe of $10 \mathrm{~m}$ in length is to be cut perpendicular to its axis so that one part is five times as long as the other.

How long will the parts be?
Ansatz: $x+5 x=10$ yields $8 \frac{1}{3} \mathrm{~m}$ and $1 \frac{2}{3} \mathrm{~m}$.