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 they are traveling at the same speed?

Answer 1

`C(4,6)`

Explanation:

we know that

If Phillip and Bruce are traveling at the same speed and Phillip departed from town A towards town B, at the same time Bruce headed from town B to town A, then they will meet at midpoint C of segment AB.

Because the distance AC must be equal to the distance BC

The formula to calculate the midpoint between two points is equal to

`((x1+x2)/(2),(y1+y2)/(2))`

we have

A(1,6) and B(7,6)

substitute

`C((1+7)/(2),(6+6)/(2))`

`C((8)/(2),(12)/(2))`

`C(4,6)`