Jamie is staying in a cottage along a beautiful and straight shoreline. A point Q on the shoreline is located 4 kilometers east of the cottage, and an island is located 2 kilometers north of Q (see image below). Jamie plans to travel from the cottage to the island by some combination of walking and swimming. She can start to swim at any point P between the cottage and the point Q. If she walks at a rate of 5 km/hr and swims at a rate of 2 km/hr, what is the minimum possible time it will take Jamie to reach the island? Enter an exact answer or round to the nearest hundredth of an hour.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CM: Cumulative Review Problem Set
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Jamie is staying in a cottage along a beautiful and straight shoreline. A point Q on the shoreline is located 4 kilometers east of the cottage, and an island is located 2 kilometers north of Q (see image below). Jamie plans to travel from the cottage to the island by some combination of walking and swimming. She can start to swim at any point P between the cottage and the point Q. If she walks at a rate of 5 km/hr and swims at a rate of 2 km/hr, what is the minimum possible time it will take Jamie to reach the island?

Enter an exact answer or round to the nearest hundredth of an hour.

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