A hiker wants to get from one point on a circular lake to the diametrically opposite point and has the choice of rowing to
A hiker wants to get from one point on a circular lake to the diametrically opposite point and has the choice of rowing to some point on the lake and then walking the rest of the way. If the hiker can row at the rate of 1 km/hr and walk in the difficult terrain at the rate of 1.5 km/hr, what is the optimal route to take? Explain each step of your argument.
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