A small island is 2 miles from the nearest point C on the straight shoreline of a large lake. If a woman on the island can row a boat 3 mph and walk 4 mph, where should the boat be landed in order to arrive at a town 10 miles down the shore from point P in the least time?

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A small island is 2 miles from the nearest point C on the straight shoreline of a large lake. If a woman on the island can row a boat 3 mph and walk 4 mph, where should the boat be landed in order to arrive at a town 10 miles down the shore from point P in the least time?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Are points P and C the same?

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