The scale used in a map is 1 : 500000. What is the actual distance between two cities, if they are 18 cm apart on the map?
If the actual distance between the two cities is 165 km, what is the distance between them on the map?
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Given,
Scale of the map = 1 : 500000
Map distance = 18 cm
Another real distance = 165 km
To find,
Real distance for first case and map distance for second case.
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
Now, according to scale data,
1 cm of map distance = 500000 cm real distance
1 cm map distance = 5 km real distance
18 cm map distance = 18×5 = 90 km real distance
For, second case,
5 km real distance = 1 cm map distance
1 km real distance = 1/5 cm map distance
165 km real distance = 165/5 = 33 cm map distance
Hence, real distance between two cities (case no.1) is 90km and map distance between two cities (case no. 2) is 33 cm.
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