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 [tex]x.[/tex]
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, [tex]x[/tex] is equivalent to 24.4.
Now, by using cross multiplication method we get the model length of the tunnel:
[tex]\frac{3}{4} =\frac{x}{24.4}[/tex]
By cross multiplying we get:
[tex]73.2=4x[/tex]
Dividing both sides by 4 we get:
[tex]18.3=x\\\\x=18.3\ cm.[/tex]
Therefore, the model length of the tunnel will be 18.3 cm.
