Question

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?

A. 70 km

B. 52.5 km

C. 50 km

D. 150 km

Answer 1

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 2

C. 50 km

Explanation:

The scale on the map is,

1 cm : 20 km,

That is, the ratio of the scaled distance and actual distance =
`(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 =
`(2.5)/(x)`

`\implies (1)/(20)=(2.5)/(x)`

`x=20* 2.5`

`x=50`

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

Option 'C' is correct.