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

The model length of the tunnel will be 18.3 cm.

Step-by-step 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

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, is equivalent to 24.4.

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

By cross multiplying we get:

Dividing both sides by 4 we get:

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

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