Jack and Jill may be skating still

Classical Mechanics Level 2

Jack and Jill are skating. Jill has a mass of $50~\mbox{kg}$ , Jack has a mass of $80~\mbox{kg}$ . At $t = 0~\mbox{seconds}$ Jill starts skating across a $50~\mbox{m}$ diameter rink at a speed of $3~\mbox{m/s}$ . After $3~\mbox{seconds}$ Jack skates after her with a speed of $5~\mbox{m/s}$ . When they meet, Jack scoops up Jill and they glide to the other end of the rink together. At what time $t$ in seconds do they reach the other side of the rink? You can neglect any friction of the ice or drag.