Concept explainers
Distance, Speed, and Time Kiran drove from Tortula to Cactus, a distance of 250 mi. She increased her speed by 10 mi/h for the 360-mi trip from Cactus to Dry Junction. If the total trip took 11 h, what was her speed from Tortula to Cactus?
To find: The speed of vehicle from Tortula to Cactus.
Answer to Problem 72E
The speed of vehicle from Tortula to Cactus is 50 mi/h.
Explanation of Solution
Given:
The distance from Tortula to Cactus is 250 mi and distance from Cactus from Dry Junction is 360 mi.
Kiran increases the speed in second leg by 10 mi/h. Total time for complete the trip is 11h.
Formula used:
Distance formula is,
Calculation:
Let the speed of vehicle from Tortula to Cactus be x ft/s.
Tabulate the given information into the language of algebra.
Distance | Speed | Time | |
Tortula to Cactus | 250 | x |
|
Cactus to Dry Junction | 360 |
|
|
Model the equation for the above information.
Simplify the above equation for x,
Factor the above equation.
The speed cannot be negative, so the speed is 50 mi/h.
Thus, the speed of vehicle from Tortula to Cactus is 50 mi/h.
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