Question

A piece of rope 60 meters long is cut into two pieces so that the longest piece is twice as shorter. How long are the two pieces?

Answer 1

Answer:

Longer rope= 40 meters

Shorter rope=20 meters

Step-by-step explanation:

Lets suppose that the shorter rope is x meters long. Then,

Shorter rope=x

Longer rope=2x

x+2x=60

3x=60

x=60/3

x=20.

Shorter rope= 20 meters

Longer rope= 2x

                  =2(20)

                  =40 meters.

20+40=60.

Hope this helps!!

Answer 2

Answer:

A piece of rope is 60 meters long

It is cut into 2 pieces

That the logest piece is twice of shorter

Therefore, let the measure be x

1st rope= x

2nd rope= 2x

So, the equation will be

2x + x = 60

3x = 60

x = 3 ÷ 60

x = 20

So, the measure of the ropes are

1st rope = x = 20m

2nd rope = 2x = 2 × 20 = 40m

Therefore, the measure of the rope are

20m and 40m.