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A student lives on an island, 1 km away from the mainland. The shore of the mainland is completely straight. There is a large

 

A student lives on an island, 1 km away from the mainland. The shore of the mainland is completely straight. There is a large rock at the point on the shoreline closest to the island. The student's school is on the shore of the mainland, 2 km away from the rock. The student can row at 5 km/h, and can run at 13 km/h. How far from the rock should the student land their rowboat in order to minimize the time it takes them to get to school? (Suggestion: let x be the distance from the rock to the point where they land, as shown in the given diagram.) Hint: Remember that time = distance speed 2 km Island 1 km row Rock I run School

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