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Three painters are have to paint a wall on the other side of a ledge. The...

Three painters are have to paint a wall on the other side of a ledge. The plan is to use a L ft ladder as a platform and a quarter of the ladder’s length hangs off the ledge. Two of the painters will act as counterweights for the one who will stand over the ledge and paint the wall. Each painter weighs the same, the ladder has half the weight of a single painter, and assume two of the three painters are standing at opposite ends of the ladder. What is the minimum distance from the painter over the ledge should the middle person stand to keep the ladder from moving?

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