Question

When 2 pieces of rope are placed end to end the measure 40 meters in length. When the 2 pieces are laid side by side, one is 10 meters longer than the other. How long is each piece of rope?

Answer 1

Answer:

Length of Rope 1 = 15 meters

Length of Rope 2 = 25 meters

Step-by-step explanation:

Lets say length of rope 1 = L₁

and the length of rope 2 = L₂

Using the given information,

L₁ + L₂ = 40 ....................................(Eq. 1)

L₂ = L₁ + 10 .....................................(Eq. 2)

substituting Eq. 2 in Eq. 1,

L₁ +  L₁ + 10 = 40

2L₁ + 10 = 40

2L₁ = 30

Thus, L₁ = 15

Length of Rope 1 = 15 meters

Length of Rope 2 = 25 meters

Answer 2

30 meters because 40 minus 10 equals 30