Question

A 6.5 meter long rope is cut into two pieces one piece is twice as long as other find the land of the long piece

Answer 1

4.333 meters

Explanation:

Given:

We are told that the rope is cut into two pieces and that one (longer) piece is twice the length of the other (short) piece

let the length of the short piece = x meters

hence the length of the longer piece = 2x meters

we are also given that the total length of the two pieces is 6.5m

hence,

length of short piece + length of long piece = 6.5 m

in equation form:

x + 2x = 6.5

3x = 6.5 (divide both sides by 3)

x = 6.5/3 meters

we are asked to find the length of the long piece (i.e 2x)

hence

2x = 2 (6.5/3) = 4.333 meters (answer)

Answer 2

4 1/3 meters

Explanation:

"A 6.5 meter long rope is cut into two pieces one piece is twice as long as other find the length of the long piece."

Let X and Y stand for the short and long segments of rope. We know that:

X + Y = 6.5 meters

We also learn that:

X = 2 Y [We'll say X is the long piece]

We can also write this as: Y = X/2

Use this equation in the first:

X + X/2 = 6.5 meters

(3/2)X = 6.5 meters

X = (2/3)(6.5 meters)

Y = (13/3) meters

Y = 4 1/3 meters

X is then 2 1/6 meters