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A map of a city is drawn on a scale of 1: 50000. The distance between two cities A and B on this map is 12 cm. What will be the actual distance betwee
Question

A map of a city is drawn on a scale of 1: 50000. The distance between two cities A and B on this map is 12 cm. What will be the actual distance between the two cities?

A.

15 km

B.

12 km

C.

6 km

D.

9 km

Correct option is C

=

Given:

Scale of the map = 1:50000
Distance between cities A and B on the map = 12 cm

Formula Used:

The actual distance can be calculated using the scale of the map:
Actual Distance = Map Distance×Scale FactorMap\ Distance \times \text{Scale Factor}​​

Solution:

The values into the formula:
Actual Distance = 12 cm×5000012 \text{ cm} \times 50000​​

The actual distance:
Actual Distance = 600000  cm

600000 cm=600000÷100000=6 km600000 \text{ cm} = 600000 \div 100000 = 6 \text{ km}​​

The actual distance between the two cities is 6 km.

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