A bus is moving from city to city , where and .
It stops in the middle of the distance at a point then stops again at two-thirds the distance from city at a point .
Find the coordinates of and respectively.
If points and have the coordinates and ,
respectively, and they are divided internally by point in the ratio , then the coordinates of point are .
Suppose the distance from city to city is . Calculate the ratio of to as follows:
It is now possible to find the coordinates of point .
Next, calculate the ratio of to .
Thus, the coordinates of and are and , respectively.