Question

A line segment 42 inches long is divided into 3 portions in a ratio of 1:2:4.
How many inches long is the longest portion than the shortest portion?

a) 16 b) 18 c) 20 d) 22 e) none of these

Answer 1

Answer:

Option B.

Step-by-step explanation:

It is given that A line segment 42 inches long is divided into 3 portions in a ratio of 1:2:4.

Let the length of 3 portions are x,2x and 4x respectively.

$x+2x+4x=42$

$7x=42$

Divide both sides by 7.

$x=6$

The value of x is 6.

The lenght of 3 portions are  

$x=6$

$2x=2(6)=12$

$4x=4(6)=24$

Difference between the longest portion and the shortest portion is

$24-6=18$

Longest portion is 18 inches longer than the shortest portion

Therefore, the correct option is B.