## Task 3 - 020923

Peter makes a bet with Jürgen. He wants to walk to a place 10,000 steps away and back before Jürgen can collect 150 marbles into a basket.

The marbles are to be placed in a row with one step between each, and each marble is to be brought to the basket, which is one step in front of the first marble. Both boys are to walk at exactly the same speed.

Who will win the bet? Justify your claim!
Peter wins. He has to take $2 \cdot 10000=20000$ steps.

Jürgen, on the other hand, has to take $2 \cdot(1+2+3+\ldots+150)=2 \cdot 75 \cdot 150=22650$ steps.