Question

Two hikers are walking along a marked trail. The first hiker starts at a point 6 miles from the beginning of the trail and walks at a speed of 4 mi/h. At the same time, the second hiker starts 1 mi from the beginning and walks at a speed of 3 mi/h

a.) what is a system of equations that models the situation?

b.) graph the two equations and find the intersection point

c.) is the intersection point meaningful in this situation? Explain.

Please help I need the answers if a explanation is available then it is greatly appreciated.

Please no Quizlet

Answer 1

Answer: You didn't say if they are walking towards each other or walking in the same direction away from the beginning of the trail.

if they are walking in the same direction they will never meet

because a is already 5 miles ahead and walking faster

r*t=d

rate

y=mx+b

y=rt+b

y=4t+6 first hiker

y=3t+1 second hiker

set them equal and see if there is a solution

if there is a solution it is the intersection

The solution is minus -5 which means they might have met 5 hours ago.

If they are walking towards each other

6-1=5

4t+3t=5

7t=5

t=5/7 hours they will meet after hiking 5/7 hours

Explanation: