Let's meet at a point

Geometry Level 3

Six children are standing along the \(x\)-axis at points \((0,0)\), \((17,0)\), \((40,0)\), \((85,0)\), \((173,0)\), \((440,0)\). The children decide to meet at some point along the \(x\)-axis. What is the minimum total distance the children must walk in order to meet?

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