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Walking and rowing A boat on the ocean is 4 mi from the
Chapter 7, Problem 15E(choose chapter or problem)
A boat on the ocean is 4 mi from the nearest point on a straight shoreline; that point is 6 mi from a restaurant 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.
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)?
Questions & Answers
QUESTION:
A boat on the ocean is 4 mi from the nearest point on a straight shoreline; that point is 6 mi from a restaurant 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.
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)?
ANSWER:Solution Step 1: A boat is 4 miles from the nearest point to the shore, that point is 6 miles from the restaurant. A person plans to row the boat straight and walk along the shore to the restaurant. The following diagram describes this situation.