Jack and Jill may be skating still

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.

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