Question

the points j, k, l and m all lie on the same line segment, in that order, such that the ratio of jk : kl : lm is equal to 3 : 1 : 1. if jm = 10, find jl.

Explanation:

Step1: Calculate the total number of parts

The ratio of $JK:KL:LM = 3:1:1$, so the total number of parts is $3 + 1+1=5$.

Step2: Find the length of one - part

Since $JM = 10$ and there are 5 parts in total for $JM$, the length of one part is $\frac{JM}{5}=\frac{10}{5} = 2$.

Step3: Calculate the length of $JL$

The length of $JL$ is composed of $JK$ and $KL$. The number of parts for $JL$ is $3 + 1=4$. So $JL=4\times2 = 8$.

Answer:

$8$