The scale on a map is 5 cm : 8 km. If the distance between two cities is 56 km, how far apart in cm are the two cities on the map

Question

asked Oct 24, 2020 47.3k views

2 Answers

Brian Hsu · Answer 1 · 2020-10-29T19:42:27+0000

Answer:

The cities are 35 cm apart in map.

Explanation:

The scale on a map is 5 cm : 8 km.

$\texttt{Scale = }(5cm)/(8km)\\\\\texttt{Scale = }(5cm)/(8* 100000cm)=(5)/(800000)$

Now we need to find how much is the distance in map if the original distance is 56 km.

Distance in map = Scale x Original distance

$\texttt{Distance in map = }(5)/(800000)* 56km=(5* 5600000cm)/(800000)=35cm$

The cities are 35 cm apart in map.