Calvin and Phoebes Commuting Problem: Calvin lives at the corner of Alamo and Heights

Chapter 10, Problem 10

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Calvin and Phoebes Commuting Problem: Calvin lives at the corner of Alamo and Heights Streets (Figure 10-4k). Phoebe lives on High Street, 500 ft from its intersection with Heights Street. Since they started dating, Calvin has found that he is spending a lot of time walking between the two houses. He seeks to minimize the time by cutting across the field to a point that is distance x, in feet, from the Heights-High intersection. He finds that he can walk 5 ft/s along the streets but only 3 ft/s across the rough, grassy field. What value of x minimizes Calvin's time getting to Phoebe's? Figure 10-4k

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