(Suitable for CAS extension)This beach race begins from a point 4 kilometres out to sea from one end of a 6 kilometre beach, and finishes at the opposite end. Contestants must swim to a point along the beach, and then run to reach the finish line first. I can swim at 4 km/h and run at 10 km/h - where should I aim to land on the beach so as to minimize my total time for the race?
http://compasstech.com.au/TNSINTRO/TI-NspireCD/Exemplary_Activities_PDF/Act3_BeachRace.pdf
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