In a swim/run race, competitors start at point A, and must swim across a river (to any point on the opposite shore), then run along the shore to the finish at point B. The river is 1 km across, and the finish is 5km downstream from the start. If Olivia can swim 4 km/h and run 10 km/h, determine the route she should take to finish the race as quickly as possible.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 39E
icon
Related questions
Question

In a swim/run race, competitors start at point A, and must swim across a river (to any
point on the opposite shore), then run along the shore to the finish at point B. The
river is 1 km across, and the finish is 5km downstream from the start. If Olivia can
swim 4 km/h and run 10 km/h, determine the route she should take to finish the race
as quickly as possible. 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
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
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University