(a)
To find the system of linear equations.
(a)
Answer to Problem 33E
Equation
Explanation of Solution
Given information:
You and a friend are going hiking but start at different locations. You start at the trail end and walk 5 miles per hour. Your friend starts 3 miles from the trail end and walks 3 miles per hour.
Formula used:
Calculation:
Let x represent the number of hours walked & y represent the distance covered.
For both equations, use the slope-intercept form:
You: The speed corresponds to the slope, m = 5 & b = 0 since you start on the trailhead
Friend: Your friend's speed corresponds to the slope, m = 3 &b = 3 since he started 3 mile from the trailhead.
Conclusion:
Equation
(b)
They are correct being in the same location of the trail.
(b)
Answer to Problem 33E
No, he is incorrect about his claim of 1 hour.
Explanation of Solution
Given information:
You and a friend are going hiking but start at different locations. You start at the trail end and walk 5 miles per hour. Your friend starts 3 miles from the trail end and walks 3 miles per hour.
Formula used:
  
Calculation:
The graph as shown below,
  
The solution is (1.5, 7.5) which means that you & your friend will be at the same location after 1.5 hours. Therefore, he is incorrect about his claim of 1 hour.
Conclusion:
He is incorrect about his claim of 1 hour.
Chapter 5 Solutions
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