15. Art and physical endurance enthusiasts compete in an annual race called the Kinetic Sculpture Grand Championship (A kinetic sculpture is a sculpture that is able to move). Let's suppose a kinetic sculpture team races its vehicle on a river. It takes 0.05 hours for the vehicle to race down the river going with a current of 3 miles per hour, and 0.15 hours to travel the same distance back up the river against the current. a. Set up a linear system of equations for this problem where d represents the distance traveled and x represents the rate at which the kinetic sculpture is moving. b. Find the rate at which the kinetic sculpture was moving down the river and back.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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15. Art and physical endurance enthusiasts compete in an annual race called the Kinetic
Sculpture Grand Championship (A kinetic sculpture is a sculpture that is able to move).
Let's suppose a kinetic sculpture team races its vehicle on a river. It takes 0.05 hours for
the vehicle to race down the river going with a current of 3 miles per hour, and 0.15 hours
to travel the same distance back up the river against the current.
a. Set up a linear system of equations for this problem where d represents the distance
traveled and x represents the rate at which the kinetic sculpture is moving.
b. Find the rate at which the kinetic sculpture was moving down the river and back.
Transcribed Image Text:15. Art and physical endurance enthusiasts compete in an annual race called the Kinetic Sculpture Grand Championship (A kinetic sculpture is a sculpture that is able to move). Let's suppose a kinetic sculpture team races its vehicle on a river. It takes 0.05 hours for the vehicle to race down the river going with a current of 3 miles per hour, and 0.15 hours to travel the same distance back up the river against the current. a. Set up a linear system of equations for this problem where d represents the distance traveled and x represents the rate at which the kinetic sculpture is moving. b. Find the rate at which the kinetic sculpture was moving down the river and back.
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