A woman is on a lake in a rowboat located one mile form the closest point of a straight shoreline (see the figure).She wishes to get to point 8 miles along the shore from by rowing to a point between and and then walking the rest of the distance.If she can row at a speed of 3 mph and walk at a speed of 4 mph, how should she pick the point to get to as quickly as possible? How much time does she require?

Question

A woman is on a lake in a rowboat located one mile form the closest point  of a straight shoreline (see the figure).She wishes to get to point  8 miles along the shore from  by rowing to a point  between  and  and then walking the rest of the distance.If she can row at a speed of 3 mph and walk at a speed of 4 mph, how should she pick the point  to get to  as quickly as possible? How much time does she require?

Quizplus · Accepted Answer

The Answer of A woman is on a lake in a rowboat located one mile form the closest point  of a straight shoreline (see the figure).She wishes to get to point  8 miles along the shore from  by rowing to a point  between  and  and then walking the rest of the distance.If she can row at a speed of 3 mph and walk at a speed of 4 mph, how should she pick the point  to get to  as quickly as possible? How much time does she require?

A Woman Is on a Lake in a Rowboat Located