A woman wants to go from her house to a cabin as quickly as

A woman wants to go from her house to a cabin as quickly as possible. The cabin is situated 4 km down from the house on the opposite side of a lake with straight shorelines. The lake is 2km wide. She is planning first to run along the shore the distance of d km and then swim straight to the cabin. If she can run at 12km/h and swim at 4km/h, the distance d that minimizes travel time is?

Solution

d^2 + 4 = 16 => d = 3.464 km
A woman wants to go from her house to a cabin as quickly as possible. The cabin is situated 4 km down from the house on the opposite side of a lake with straigh

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