Question

The points S, T, U and V all lie on the same line segment, in that order, such that the ratio of S, T, colon, T, U, colon, U, VST:TU:UV is equal to 1, colon, 5, colon, 3, .1:5:3. If S, V, equals, 27, commaSV=27, find S, T, .ST.

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let the distance from S to T be x, the distance from T to U be 5x (since the ratio of ST:TU is 1:5), and the distance from U to V be 3x (since the ratio of TU:UV is 5:3).

Therefore, the total distance from S to V is x + 5x + 3x = 9x, which is equal to 27 (since SV = 27).

So, 9x = 27
x = 3

Therefore, the distance from S to T (ST) is x which is equal to 3.

Therefore, ST = 3.