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. 7. 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.

Transcribed Image Text:

A Figure 7 5 X P B > 15