Question

Phillip departed from town A with coordinates (1, 6) towards town B with coordinates (7, 6). At the same time Bruce headed from town B to town A. What are the coordinates of point C where they will meet if the ratio of Phillip's to Bruce's rates is 7:5, respectively?

Answer 1

Step-by-step explanation:

First we need to determine the length of the path they're walkin on. We do this with the following equation:

$\sqrt{(x1 - x2)^{2} + (y1 - y2)^{2} }$

Let's fill it in:

$\sqrt{(1 - 7)^{2} +(6 - 6)^{2} } = \sqrt{36} = 6$

They walk 7:5 respectively 7+5=12 so on 6 units they'll walk 12/6=2 so 7/2:5/2=3.5:2.5

3.5 units right from (1,6) is 1+3.5=4.5 which gives us (4.5,6)