Mateo needs to access a point 16 km downstream on the opposite side of a straight, 4 km wide river. See diagram in image  below. He can row at rate of 8 km per hour and run at a rate of 15 km per hour. Mateo has a few basic options for this trip. He can row straight across the river and then run downriver to his destination. He can row the entire distance to his destination. He can row to a point x km downriver and then run the rest of the way to his destination. How far downstream on the opposite side of the river should Mateo land, in order to minimize the amount of time required to arrive at his destination?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.5: Multiplying Polynomials By Monimials
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Mateo needs to access a point 16 km downstream on the opposite side of a straight, 4 km wide river. See diagram in image  below.

He can row at rate of 8 km per hour and run at a rate of 15 km per hour. Mateo has a few basic options for this trip.

  • He can row straight across the river and then run downriver to his destination.
  • He can row the entire distance to his destination.
  • He can row to a point x km downriver and then run the rest of the way to his destination.

How far downstream on the opposite side of the river should Mateo land, in order to minimize the amount of time required to arrive at his destination?

x=

m
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