a. If she walks at 3 mi/hr and rows at 2 mi/hr, at which point on the shore should she land to minimize the total travel time? b. If she walks at 3 mi/hr, what is the minimum speed at which she must row so that the quickest way to the restaurant is to row directly (with no walking)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 26E
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Walking and rowing A boat on the ocean is 4 mi from the near-
est point on a straight shoreline; that point is 6 mi from a restau-
rant on the shore. A woman plans to row the boat straight to a
point on the shore and then walk along the shore to the restaurant.
4 mi
6 mi
a. If she walks at 3 mi/hr and rows at 2 mi/hr, at which point on
the shore should she land to minimize the total travel time?
b. If she walks at 3 mi/hr, what is the minimum speed at which
she must row so that the quickest way to the restaurant is to
row directly (with no walking)?
Transcribed Image Text:Walking and rowing A boat on the ocean is 4 mi from the near- est point on a straight shoreline; that point is 6 mi from a restau- rant on the shore. A woman plans to row the boat straight to a point on the shore and then walk along the shore to the restaurant. 4 mi 6 mi a. If she walks at 3 mi/hr and rows at 2 mi/hr, at which point on the shore should she land to minimize the total travel time? b. If she walks at 3 mi/hr, what is the minimum speed at which she must row so that the quickest way to the restaurant is to row directly (with no walking)?
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