You must get from a point P on the straight shore of a lake to a stranded swimmer who is 60 meters from a point Q, on the shore that is 60 m from you (see figure).  If you can swim at a speed of 2 m/s and run at a speed of 4 m/s, at what point along the shore, x meters from Q, should you stop running and start swimming if you want to reach the swimmer in the minimum time?

a. Given the above write the function T that gives the travel time as a function of x, where 0 <= x <= 60.

60 m
60 m

Image Transcription

swim 60 m I run 60-X 60 m P X

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