Question

On a number line , the line segment from Q to S has endpoints Q at 15 and S at 40. Point R partitions the line segment from Q to S in a 6:3 ratio. What is the location of point R?

Answer 1

31.67

Explanation:

Given :

Segment QS

Endpoints for Q and S

Q = 15

S = 40

R partitions QS in a 6 : 3,

Sum of ratio = (6 + 3) = 9

Position of R:

(Q's proportion/total ratio) * (S - Q) + Q

6/9 * (S - Q) + Q

6/9 * (40 - 15) + 15

2/3 * 25 + 15

50/3 + 15

16.67 + 15

31.67