They both leave at the Same time from Opposite directions walking towards each other. The Time each spends walking is Constant.
Over this Same Time, the Ratio of the Speeds at which the 2 girls walk will be Directly Proportional to the Ratio of the Distances the 2 girls each cover.
Stacy's Speed is 25% Greater than Katie's
A = B + (25%)B
A = B + (1/4)B
A = (5/4)B
A/5 = B/4
Ratio of Stacy's Speed - to - Katy's Speed = 5 : 4
thus, the Distance Stacy Covers - to - the Distance Katy Covers = 5 : 4
Stacy will cover (5) / (5 + 4) = 5/9th of the Distance between them when they meet.
27 miles is between them.
Stacy Covers -----> (5/9) * (27 miles) = 15 miles
-C-