The scale of a map is reduced to 1:400000. If the distance between two points present on the map is 5 cm, then what is the actual distance between the two points?

Join BYJU'S Learning Program

On a scale of map, 0.6 cm represents 6.6km. If the distance between the points on the map is 80.5 cm, the actualdistance between these points is

The correct option is D 885.5 kmLet the actural distance be x km. Then, more distance on the map, more is the actual distance. ∴ 0.6 : 80.5 :: 6.6 : x⇒0.6x=80.5×6.6⇒x=80.5×6.60.6⇒x=885.5

On a scale of map, $0.6$ cm represents $6.6$ km. If the distance between the points on the map is $80.5$ cm, the actualdistance between these points is

The correct option is D $885.5$ km
Let the actural distance be x km. Then, more distance on the map, more is the actual distance.
$∴$ 0.6 : 80.5 :: 6.6 : x
$\Rightarrow 0.6 x = 80.5 \times 6.6$
$\Rightarrow x = \frac{80.5 \times 6.6}{0.6} \Rightarrow x = 885.5$