Not drawn to scale Saturday 8:00 AM. Sunday 8:00 AM.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.6: Scale Drawings
Problem 1E
icon
Related questions
Question

At 8:00 a.m. on Saturday, a man begins running up the side of a mountain to his weekend campsite. On Sunday morning at 8:00 a.m., he runs back down the mountain. It takes him 20 minutes to run up but only 10 minutes to run down. At some point on the way down, he realizes that he passed the same place at exactly the same time on Saturday. Prove that he is correct. [Hint: Let s(t) and r(t) be the position functions for the runs up and down, and apply the Intermediate Value Theorem to the function f(t) = s(t) − r(t).]

Not drawn to scale
Saturday 8:00 AM.
Sunday 8:00 AM.
Transcribed Image Text:Not drawn to scale Saturday 8:00 AM. Sunday 8:00 AM.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Linear Equations
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
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill