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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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