Question

A map has a scale of 3 cm : 18 km. If Riverside and Smithville are 54 km apart then they are how far apart on the map?
rainliest plz solve

Answer 1

Riverside and Smithville will be 9 km apart on the map. For every 6 km they will be 1 cm apart on the map.

Answer 2

54 km is 3 times of 18km and 3 times of 3 cm is 9 cm. So, Riverside and Smithville are 9 cm apart on the map.

Ratio and proportion:

Important information:

• The given scaling ratio is 3 cm : 18 km.
• Riverside and Smithville are 54 km apart.

We need to find the distance between Riverside and Smithville in the map.

Let x cm be the distance between Riverside and Smithville in the map. The distance in the map and the actual distance are always proportional.

$\dfrac{x}{54}=\dfrac{3}{18}$

$x=\dfrac{3}{18}\times 54$

$x=9$

Therefore, Riverside and Smithville are 9 cm apart on the map.

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