A 180 lb man A and a 40 lb child C are at the opposite ends of a 250 lb floating platform P with a length { L }_{ fp } = 15 ft. The man, child, and platform are initially at rest at a distance \delta =1 ft from a mooring dock. The child and the man move toward each other with the same speed { \upsilon }_{ 0 } relative to the platform. Determine the distance d from the mooring dock where the child and man will meet. Assume that the resistance due to the water to the horizontal motion of the platform is negligible.