Question

The Laerdal Tunnel in Norway is the world’s longest tunnel. It is 24.4 km long. An engineer plans to make a scale model of the tunnel using the scale 3 cm : 4 km. What will the length of the model be?

Answer 1

The model length of the tunnel will be 18.3 cm.

Explanation:

Given:

The Laerdal Tunnel in Norway is the world’s longest tunnel. It is 24.4 km long. An engineer plans to make a scale model of the tunnel using the scale 3 cm : 4 km.

Now, to find the length of the tunnel of the model.

Let the model length of the tunnel be
`x.`

The actual length of the tunnel is 24.4 km.

The scale model of the engineer is 3 cm : 4 km.

If, 3 is equivalent to 4.

Thus,
`x` is equivalent to 24.4.

Now, by using cross multiplication method we get the model length of the tunnel:

`(3)/(4) =(x)/(24.4)`

By cross multiplying we get:

`73.2=4x`

Dividing both sides by 4 we get:

`18.3=x\\\\x=18.3\ cm.`

Therefore, the model length of the tunnel will be 18.3 cm.