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BECE Social Studies 2018 Paper

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Question : 17

Total: 40

If the scale of a map is

1 : 50,000

and the distance between two points on the map is 10 cm, what is the actual distance on the ground?

$2.5$ km
$5.0$ km
$10.0$ km
$20.0$ km

Solution:

Concept:

Map scale relates distance on the map to actual distance on the ground.

Explanation:

Scale

1 : 50{,}000

means 1 cm on the map represents

50{,}000

cm on the ground.

For 10 cm on the map:

10 \times 50{,}000 = 500{,}000 \text{ cm}

Convert cm to km:

100{,}000 \text{ cm} = 1 \text{ km}

\frac{500{,}000}{100{,}000} = 5 \text{ km}

Answer:

The actual distance on the ground is

5.0

km, which is option B.

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