Answer:
0.176m from the flagpole, westward.
Explanation:
Let the Eastward be the positive direction. So initially runner A is at position -6km, running with velocity of 9km/h while runner B is at position 5km running at a velocity of -8km/h. We can conduct the following equation for their distances over the same time t
[tex]s_A = -6 + 9t[/tex]
[tex]s_B = 5 - 8t[/tex]
When A an B meets, they are at the same position and at the same time. So
[tex]s_A = s_B[/tex]
[tex]-6 +9t = 5 - 8t[/tex]
[tex]17t = 5 + 6 = 11[/tex]
[tex]t = 11/17 = 0.647 s[/tex]
[tex]s_A = -6 + 9*0.647 = -0.176 m[/tex]
So where they meet is 0.176m from the flagpole, westward.
