IgniteThinking
All puzzles

The Meeting Point

Understand the puzzle

The exact puzzle

Three friends are on a grid map. Ava is at (0,0), Ben is at (4,0), and Cara is at (2,3). The first number counts steps across; the second counts steps up. You can only walk along the grid lines, so distance means steps across plus steps up or down. The friends want to meet at one of four spots: P (2,0), Q (2,1), R (0,3), or S (4,3). Which meeting spot makes the TOTAL distance walked by all three friends as small as possible?

Why this matters

Model a messy real situation as a simple grid before optimizing

Take your time reading. There's no rush at all. Use the picture on the side to help it make sense, then tell me what it's really asking.