Minimizing Time Jane wants to drive her tractor from point A on one side of her 5-mile-wid...

Minimizing Time 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, as shown in Fig. 1. 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 = .]

Figure 1