Question

The points P, Q, R and S all lie on the same line segment, in that order, such that the
ratio of PQ QR: RS is equal to 3: 1: 1. If PS = 50, find PQ.

Answer 1

Using proportions, it is found that the length of segment PQ is of 30 units.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The ratio of PQ:QR:RS is of 3:1:1, hence:

PQ = 3/5PS.

We have that PS = 50, hence the length of segment PQ is found as follows:

PQ = 3/5 x 50 = 3 x 10 = 30 units.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1