Optimizing distance / time

grapz

Junior Member
Joined
Jan 13, 2007
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80
An island at point A is 6 km from the nearest point B, on a straight beach. A store is at point C, 7 km down the beach from B. If a woman can row at a rate of 4 km/h and walk at a rate of 5 km/h, where should she land in order to go from the island to the store in the least possible time?


I tried to draw a diagram, but it doesn't make too much sense to me. i know to use the relationship a ^2 + b^2 = c ^2

but i have no idea how to apply it

can someone show me how to do this problem

thanks
 
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