# 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.

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