A man A, with a mass { m }_{ A } = 85 kg, and a child C, with a mass { m }_{ C } = 18 kg, are at the opposite ends of a floating platform P, with a mass { m }_{ P } = 150 kg and a length { L }_{ fp } = 6 m. Assume that the man, child, and platform are initially at rest and that the resistance due to the water to the horizontal motion of the platform is negligible. Suppose that the man and child start moving toward each other in such a way that the platform does not move relative to the water. Determine the distance covered by the child until meeting the man.