Question

two people start walking in different directions from the same point. one walks south at 4 mph and the other walks west at 3 mph. at what rate is the distance between the walkers increasing two hours later?

Answer 1

The distance between the walkers will increase at the rate of 5mph.

According to the question,

Two people start walking in different direction from same point.

Speed on the person walking west = 3mph

Speed of the person walking south = 4mph

The angle formed by the point connecting two persons will be = 90 degree

Applying Pythagoreans  theorem,

$p^{2} + b^{2} = h^{2}$

$4^{2} + 3^{2} = h^{2}$

$16 + 9 = h^{2}$

$h^{2} = 25$

$h = \sqrt{25}$

h = 5mph.

Thus after two hours, the distance between same two persons will be 10m.

Learn more about time and distance at

brainly.com/question/11411949