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The scale of a map is given as 1:30000000.Two cities are 4cm apart on the map. Find the actual distance between them.
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The scale of a map is given as 1:30000000.Two cities are 4cm apart on ...
Scale of the map: 1:30000000
Distance between two cities on the map: 4 cm

To find the actual distance between the two cities, we can use the concept of scale. The scale of a map represents the ratio of a distance on the map to the actual distance on the ground.

To calculate the actual distance between the two cities, we need to convert the given scale into a ratio where 1 unit represents the actual distance. Let's assume the actual distance between the cities is 'x' units.

Converting the scale:
The given scale is 1:30000000, which means 1 unit on the map represents 30000000 units in real life.

So, we can set up the following proportion:
1 cm on the map / 30000000 units in real life = 4 cm on the map / x units in real life

Solving the proportion:
Cross-multiplying and solving for 'x', we get:
1 cm * x units in real life = 4 cm * 30000000 units in real life
x = (4 cm * 30000000 units in real life) / 1 cm

Calculating the actual distance:
x = 120000000 units in real life

Therefore, the actual distance between the two cities is 120000000 units.

Conclusion:
The actual distance between the two cities is 120000000 units.
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The scale of a map is given as 1:30000000.Two cities are 4cm apart on the map. Find the actual distance between them. Related: NCERT Solutions Chapter 12 (Part - 1) - Ratio and Proportion, Maths, Class 6
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