Jack and Jill are skating. Jill has a mass of , Jack has a mass of . At Jill starts skating across a diameter rink at a speed of . After Jack skates after her with a speed of . When they meet, Jack scoops up Jill and they glide to the other end of the rink together. At what time in seconds do they reach the other side of the rink? You can neglect any friction of the ice or drag.