A paved road runs east through the desert into a town. A dunebuggy is located 5 miles west and 2 miles south of the town, in the desert. (A dunebuggy is sort of a car made to go on dirt.) The buggy can travel 30 mph in the desert, and 50 mph on the road. Find the route that gets it into town the fastest. In particular, in the picture below find the value of x that results in the fastest route for the dunebuggy. 5mi Road Town 2mi Route Buggy

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter2: Equations And Inequalities
Section2.1: The Rectangular Coordinate Systems And Graphs
Problem 54SE: A man drove 10 mi directly east from his home, made a left turn at an intersection, and then...
icon
Related questions
icon
Concept explainers
Topic Video
Question
A paved road runs east through the desert into a town. A dunebuggy is located
5 miles west and 2 miles south of the town, in the desert. (A dunebuggy is sort
of a car made to go on dirt.) The buggy can travel 30 mph in the desert, and 50
mph on the road. Find the route that gets it into town the fastest. In particular,
in the picture below find the value of x that results in the fastest route for the
dunebuggy.
5mi
Road
Town
2mi
Route
Buggy
Transcribed Image Text:A paved road runs east through the desert into a town. A dunebuggy is located 5 miles west and 2 miles south of the town, in the desert. (A dunebuggy is sort of a car made to go on dirt.) The buggy can travel 30 mph in the desert, and 50 mph on the road. Find the route that gets it into town the fastest. In particular, in the picture below find the value of x that results in the fastest route for the dunebuggy. 5mi Road Town 2mi Route Buggy
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning