Concept explainers
a
To write an expression for Alicia’s time with the wind
a
Answer to Problem 10CYU
An expression for Alicia’s time with the wind is
Explanation of Solution
Given information :
Alicia’s average speed riding her bikes is 11.5 miles per hours and she take round trip of 40 miles. She takes 1 hours and 20 minutes with the wind and 2 hours 30 minutes against the wind.
Let the speed of the wind be
Therefore, when Alicia travels with the wind, her speed will become
Therefore the round trip is 40 miles long so each way is
Therefore, an expression for Alicia’s time with the wind is
Hence, the An expression for Alicia’s time with the wind is
b
To write an expression for Alicia’s time against the wind
b
Answer to Problem 10CYU
An expression for Alicia’s time against the wind is
Explanation of Solution
Given information :
Alicia’s average speed riding her bikes is 11.5 miles per hours and she take round trip of 40 miles. She takes 1 hours and 20 minutes with the wind and 2 hours 30 minutes against the wind.
Let the speed of the wind be
Therefore, the round trip is 40 miles long so each way is
Therefore, an expression for Alicia’s time against the wind is
Hence, an expression for Alicia’s time against the wind is
c
To find the total time to take to complete the trip.
c
Answer to Problem 10CYU
The total time to take to complete the trip is 3 hours 50 minutes
Explanation of Solution
Given information :
Alicia’s average speed riding her bikes is 11.5 miles per hours and she take round trip of 40 miles. She takes 1 hours and 20 minutes with the wind and 2 hours 30 minutes against the wind.
Let the speed of the wind be
Alicia travels with the wind is 1 hours 20 minutes
Alicia travels against the wind is 2 hours 30 minutes
Therefore, the total time can be obtained as
1 hours 20 minutes
Hence, the total time to take to complete the trip is 3 hours 50 minutes
d
To write and solve the rational equation to determine the speed of the wind..
d
Answer to Problem 10CYU
The speed of the wind is 3.5 miles per hours.
Explanation of Solution
Given information :
Alicia’s average speed riding her bikes is 11.5 miles per hours and she take round trip of 40 miles. She takes 1 hours and 20 minutes with the wind and 2 hours 30 minutes against the wind.
Let the speed of the wind be
Alicia’s time against the wind is
Alicia’s time with the wind is
The total time to take to complete the trip is 3 hours 50 minutes, which is equal to
Therefore, the equation obtained as
So, the solution of the rational equation to determine the speed of the wind is
Hence, the speed of the wind is 3.5 miles per hours.
Chapter 8 Solutions
Glencoe Algebra 2 Student Edition C2014
Additional Math Textbook Solutions
College Algebra
College Algebra (7th Edition)
PREALGEBRA
Linear Algebra and Its Applications (5th Edition)
College Algebra
Mathematics All Around (6th 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