Concept explainers
To find: The length of time John and Mary drove.
Answer to Problem 71E
The John drives 2.25 hours and Mary drives 2.5 hours.
Explanation of Solution
Given:
John drives 60 miles/hour and travels 35 miles more than Mary.
Mary drives 40 miles/hour and takes 15 minutes more than John.
Calculation:
Let the length of time taken by John be x and Mary be y.
According to the given statement, a system of equations is,
Use substitution method to find the values of x and y.
Substitute
Simplify the above equation.
The value of y is 2.5.
Back – substitute 2.5 for y in equation (2) and find value of x.
The value of x is 2.25.
Thus, the John drives 2.25 hours and Mary drives 2.5 hours.
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning