Answer:
The distance of the runners from the flag pole is 1.28 miles west of the flagpole
Explanation:
Both the runners will meet at the same time = t
Distance they will cover together = 7 + 1 = 8 miles
Let speed of runner A = v₁ = 5 mph
Let speed of runner B = v₂ = 2 mph
Distance = Speed × Time
v₁t+v₂t = 8
[tex]5t+2t=8\\\Rightarrow 7t=8\\\Rightarrow t=\frac{8}{7}\ hours[/tex]
Distance covered by runner A = v₁t = 5× (8/7) = 5.71 miles
Distance of runner A from flagpole = 7-5.71 = 1.28
The distance of the runners from the flag pole is 1.28 miles west of the flagpole.