Runner A is initially 6.0 km west of a flagpole and is running with a constant velocity of 7.8 km/h due east. Runner B is initially 4.2 km east of the flagpole and is running with a constant velocity of 7.6 km/h due west. What will be the distance of the two runners from the flagpole when their paths cross?

1 answer

After t hours, the total distance is covered, so

7.8t+7.6t = 6.0+4.2
t = 0.662 hr

So, A's final position after that long is

-6 + 7.8 * 0.662 = -0.836 km

or, 836 meters west of the pole.