Minimizing TimeJane wants to drive her tractor from

Chapter 2, Problem 62

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Minimizing TimeJane wants to drive her tractor from pointAon one side of her 5-mile-wide field to a pointBon theopposite side of the field, as shown in Fig. 6. Jane coulddrive her tractor directly across the field to pointCandthen drive 15 miles down a road toB, or she could driveto some point,P, betweenBandCand then drive toB. If Jane drives her tractor 8 miles per hour across thefield and 17 miles per hour on the road, find the pointPwhere she should cut across the field to minimize the timeit takes to reachB.[Hint:time =distancerate.]

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