Runner A is initially 7.0 mi west of a flagpole and is running with a constant velocity of 5.0 mi/h due east. Runner B is initially 1.0 mi east of the flagpole and is running with a constant velocity of 2.0 mi/h due west. How far are the runners from the flagpole when they meet? mi

Respuesta :

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.