Concept explainers
To prove: that the average speed of plane with the wind and against the wind is
Answer to Problem 23P
The average speed is
Explanation of Solution
Given:
A plane has speed
Concept used:
According to the algebraic identities:
Speed and the rate are same meaning here.
When the direction of the speed is same then the speed will add up.
When the direction of the two speed is opposite then the speed is deducted.
The rate of the plane with the wind is:
the rate of the plane against the wind is:
Calculation:
If
Using
Similarly,
The total distance is
Substituting in the equations for
Factor out
According to the algebraic identities:
Hence, the average speed is
Chapter 9 Solutions
Algebra: Structure And Method, Book 1
Additional Math Textbook Solutions
Intermediate Algebra (7th Edition)
College Algebra (10th Edition)
Intermediate Algebra for College Students (7th Edition)
Intermediate Algebra
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education