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Runner A is initially 8.2 km west of a flagpole and is running with a constant velocity of 5.8 km/h due east. Runner B is initially 3.0 km east of the flagpole and is running with a constant velocity of 5.6 km/h due west. What will be the distance of the two runners from the flagpole when their paths cross?

Respuesta :

Answer:

Step-by-step explanation:

Given

Runner A is 8.2 km from pole and Runner  B is 3 km from pole

Runner A velocity [tex](v_A)=5.8 km/h[/tex]

Runner B velocity [tex](v_B)=5.6 km/h[/tex]

let A traveled x km in t hr

so B travels 8.2+3-x km in t hr

[tex]\frac{x}{5.8}=\frac{11.2-x}{5.6}[/tex]

x=5.69 km

therefore Distance of A from pole is 8.2-5.69=2.3 km

Distance of B from pole B is 5.69-3=2.69 km