Jane wants to drive her tractor from point A on one side of her 5-mile-wide field to a point, B, on the opposite side of the field. Jane could drive her tractor directly across the field to point C and then drive 15 miles down a road to B, or she could drive to some point, P, between B and C and then drive to B. If Jane drives her tractor 8 miles per hour across the field and 17 miles per hour on the road, find the point, P, where she should cut across the field to minimize the time it takes to reach B. [Hint: time = distance rate .]

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter9: Quadratic Equations And Functions
Section9.5: Solve Applications Of Quadratic Equations
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Jane wants to drive her tractor from point A on one side of her 5-mile-wide field to a point, B, on the opposite side of the field. Jane could drive her tractor directly across the field to point C and then drive 15 miles down a road to B, or she could drive to some point, P, between B and C and then drive to B. If Jane drives her tractor 8 miles per hour across the field and 17 miles per hour on the road, find the point, P, where she should cut across the field to minimize the time it takes to reach B. [Hint: time = distance rate .]

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