A map has a scale of 1 cm : 20 km. Two cities are 2.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?

A70 km

B52.5 km

C50 km

D150 km

Verified Answer :

so just use the rule of 3 simple 

1 cm -------- 20 km 
2,5 cm ----- x km 
----------------------------

 x = 2,5 *20/1 = 50 km

x = 50 km so choice C. is righ,correct sure

Answer:

C. 50 km

Step-by-step explanation:

The scale on the map is,

1 cm : 20 km,

That is, the ratio of the scaled distance and actual distance = \(\frac{1}{20}\)

Let x be the actual distance between the two cities which are 2.5 cm apart on the map,

So, the ratio of scaled distance and actual distance = \(\frac{2.5}{x}\)

\(\implies \frac{1}{20}=\frac{2.5}{x}\)

\(x=20\times 2.5\)

\(x=50\)

Hence, the actual distance between the cities is 50 km.

Option 'C' is correct.