70 60 50 40 30 20 10 -10 10 20 30 40 10 Vivian is a lifeguard and spots a drowning child 40 meters along the shore and 70 meters from the shore to the child. Vivian runs along the shore for a while and then jumps into the water and swims from there directly to the child. Vivian can run at a rate of 3 meters per second and swim at a rate of 1 meter per second. How far along the shore should Vivian run before jumping into the water in order to save the child? Round your answer to three decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.2: Applied Problems
Problem 18E
icon
Related questions
Topic Video
Question

10

70-
60-
50
40
30
20
10
-10
10
20
30
40
10
Vivian is a lifeguard and spots a drowning child 40 meters
along the shore and 70 meters from the shore to the child.
Vivian runs along the shore for a while and then jumps into
the water and swims from there directly to the child.
Vivian can run at a rate of 3 meters per second and swim
at a rate of 1 meter per second. How far along the shore
should Vivian run before jumping into the water in order to
save the child? Round your answer to three decimal
places.
Transcribed Image Text:70- 60- 50 40 30 20 10 -10 10 20 30 40 10 Vivian is a lifeguard and spots a drowning child 40 meters along the shore and 70 meters from the shore to the child. Vivian runs along the shore for a while and then jumps into the water and swims from there directly to the child. Vivian can run at a rate of 3 meters per second and swim at a rate of 1 meter per second. How far along the shore should Vivian run before jumping into the water in order to save the child? Round your answer to three decimal places.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning