$-57.$ Sam $(90\mathrm{.}0kg)$ and Maddie $(60\mathrm{.}0kg)$ stand $10\mathrm{.}0$ m apart on ice with a rope stretched between them. Big Josh sits on the side and watches. As Sam and Maddie pull on the rope hand over hand, Big Josh sees Sam move $2\mathrm{.}0$ m along the ice. Show that Big Josh sees Maddie move $3\mathrm{.}0$ m along the ice toward Sam.