Fred walked a trail at 2 mph. Paul started 30 minutes later on the same trail and walked at a pace of 3 mph.   Create a system of equations in which y represents the distance walked in miles and x represents the time walked in hours. Explain what this solution means in terms of Paul catching up to Fred. Solve the system from Part A. What does the solution mean in terms of Paul catching up to Fred?  Show your work. Imagine that Paul walked 2 miles per hour instead of 3 miles per hour. Will Paul ever catch up with Fred?

Elementary Algebra
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ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
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Chapter5: Systems Of Linear Equations
Section5.4: Solve Applications With Systems Of Equations
Problem 5.84TI: Translate to a system of equations and then solve: Charlie left his mother’s house traveling at an...
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Fred walked a trail at 2 mph. Paul started 30 minutes later on the same trail and walked at a pace of 3 mph.  

Create a system of equations in which y represents the distance walked in miles and x represents the time walked in hours. Explain what this solution means in terms of Paul catching up to Fred.
Solve the system from Part A. What does the solution mean in terms of Paul catching up to Fred?  Show your work.

Imagine that Paul walked 2 miles per hour instead of 3 miles per hour. Will Paul ever catch up with Fred? 

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