Posted by Mel on .
Runner A is initially 3.4 km west of a flagpole and is running with a constant velocity of 5.2 km/h due east. Runner B is initially 5.6 km east of the flagpole and is running with a constant velocity of 5.0 km/h due west. What will be the distance of the two runners from the flagpole when their paths cross?

Physics 
Steve,
just working with the xaxis, or number line, the positions at time t are:
p(A) = 3.4 + 5.2t
p(B) = 5.6  5.0t
when they meet,
3.4+5.2t = 5.65.0t
t = .88
p(A) = 1.18
so, the two runners are about 1.2 km east of the pole