



 
Hi Liz, Her is my diagram of the situation you describe You are lost at $L,$ your car is at $C$ and you are going to walk through the woods to $P$ and then along the road to $C.$ It is $6  x$ miles from $P$ to $C.$ At 4 miles per hour how long will it take yo to walk from $P$ to $C?$ Use Pythagoras' theorem to find the distance from $L$ to $P.$ At 2 miles per hour how long will it take to walk from $L$ to $P\;?$ What is the total time to walk from $L$ to $P$ and then to $C?$ Use the calculus you know to find the distance $X$ that minimizes this time. Harley  


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