person in a boat is 24 km from a shore and wishes to reach a point 20 km down shore (from a point perpendicular to him and the shore). If she can travel 5 km/h by boat and walk 13 km/h on land, at what point should she land the boat in order to minimize the time taken?

person in a boat is 24 km from a shore and wishes to reach a point 20 km down shore (from a point perpendicular to him and the shore). If she can travel 5 km/h by boat and walk 13 km/h on land, at what point should she land the boat in order to minimize the time taken?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.4: Solving Quadratic Equations By Factoring

Problem 2GP

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Question

A person in a boat is 24 km from a shore and wishes to reach a point 20 km down shore (from a point perpendicular to him and the shore). If she can travel 5 km/h by boat and walk 13 km/h on land, at what point should she land the boat in order to minimize the time taken?

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