To find: When should the auxiliary pump be started so that the tanker is emptied by noon?
Answer to Problem 47AYU
Started the auxiliary pump at 9:45 AM.
Explanation of Solution
Given:
An oil tanker can be emptied by the pump in 4 hours. An auxiliary pump can empty the tanker in 9 hours. If the main pump is started at 9 am.
Calculation:
The main pump’s emptying rate is tanker per hour. It will be open the entire 3 hours, so it will empty of the tank.
The other of tank must be emptied by the auxiliary pump.
We need to know how long it will take the auxiliary pump to empty the remaining tank which the main pump cannot empty in the 3 hours. The auxiliary pump’s rate is tanker per hour. Let be the number of hours it takes the auxiliary pump to empty the tank which the main pump will not be able to empty in the 3 hours allotted.
(rate in tankers per hour)(time required) tank
Therefore .
2 hours 15 minutes.
So the auxiliary tank must be started 2 hours 15 minutes before 12 noon, so it must started at 9:45 AM.
Chapter A.8 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
Glencoe Math Accelerated, Student Edition
University Calculus: Early Transcendentals (4th Edition)
Calculus and Its Applications (11th 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