Where to land

Chris is enjoying a swim but needs to get back for lunch. How far along the bank should she land?

Problem

Where to Land printable sheet



Chris is swimming in a lake, 50m from the shore.

Her family are 100m along the shore.

                                    

Image
Chris is 50m South of the shore, which is horizontal. His family are 100m East to the point where Chris is 50m South of.

 

She'd like to get back to her family as quickly as possible. If she can swim at 3 m/sec and run at 7m/sec, how far along the shore should she land in order to get back as quickly as possible?