A boy and a girl are resting on separate rafts \(10 \mathrm{~m}\) apart in calm water when the girl notices a small beach toy floating midway between the rafts. The girl and her raft have twice the inertia of the boy and his raft. The rafts are connected by a rope \(12 \mathrm{~m}\) long, so she decides to pull on the rope, drawing the rafts together until she can reach the toy. Which raft gets to the toy first? How much distance is there between the two rafts when the first one reaches the toy? (Ignore the widths of the rafts.)