Question

Anna departs from the city A with coordinates (1, 1) towards city B with coordinates (9, 11). At the same time, Mary departs from city B towards city A. Find the coordinates of point C, where Anna and Mary meet, if the ratio of Anna to Mary's rates is 3:5 respsectivley

Answer 1

4, 4.75

Explanation:

Answer 2

C = (4, 4.75)

Explanation:

Point C will divide segment AB into the ratio 3:5, matching the respective rates of travel. Then the location of point C can be found from ...

C = (5A +3B)/(3+5)

C = (5(1, 1) +3(9, 11))/8 = (5 +27, 5 +33)/8 = (4, 4.75)

The point where Anna and Mary meet is (4, 4.75).