Minimizing Travel Time A woman is on a lake in a rowboat located 1 mi from the closest point P of a straight shoreline (
Posted: Mon Jul 11, 2022 11:10 am
Minimizing Travel Time
A woman is on a lake in a rowboat located 1 mi from theclosest point P of a straight shoreline (see theaccompanying figure). She wishes to getto point Q, 10 mi along the shorefrom P, by rowing toa point R between P and Q andthen walking the rest of the distance. If she can row at a speedof 4 mph and walk at a speedof 5 mph, how should she pickthe point R (in miles from P)in order to get to Q as quickly as possible?(Round your answer to three decimal places.)
A woman is on a lake in a rowboat located 1 mi from theclosest point P of a straight shoreline (see theaccompanying figure). She wishes to getto point Q, 10 mi along the shorefrom P, by rowing toa point R between P and Q andthen walking the rest of the distance. If she can row at a speedof 4 mph and walk at a speedof 5 mph, how should she pickthe point R (in miles from P)in order to get to Q as quickly as possible?(Round your answer to three decimal places.)