Concept explainers
To calculate: The time taken by her if she works all alone.
Answer to Problem 85RE
She needs 6 hours to finish the painting alone.
Explanation of Solution
Given information:
It takes 60 minutes to pain a living room if all three work.
Calculation:
Let us suppose that:
x = the hours that Abbie needs to paint the living room alone
y = the hours that Beth needs to paint the living room alone
z = the hours that Cathie needs to paint the living room alone
t = 60 min = 1 hour the time they need to pain the room working all 3 together
Since she paints twice as fast as Beth
Since she paints three times as fast as Cathie
if they pain together, they finish in 1 hour
by solving the system of 3 equations
x = 6 hours
She needs 6 hours to finish the painting alone.
Chapter 1 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