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JAMB Geography 2020 Paper

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Question : 15

Total: 80

If the scale of two maps are (a;1:100,000 and b;1:400,000) what is the ground distance if the distance between two towns on the maps is 10cm

10km, 40km
5km, 20km
2.5km, 10km
20km, 80km

Solution:

Concept:

A map scale shows the ratio between a distance on the map and the actual ground distance.

Explanation:

For map (a), scale is

1:100{,}000

.

This means

1\,\text{cm}

on the map represents

100{,}000\,\text{cm}

on the ground.

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

.

Ground distance

= 10 \times 100{,}000 \div 100{,}000 = 10\,\text{km}

.

For map (b), scale is

1:400{,}000

.

This means

1\,\text{cm}

on the map represents

400{,}000\,\text{cm} = 4\,\text{km}

on the ground.

Ground distance

= 10 \times 400{,}000 \div 100{,}000 = 40\,\text{km}

.

Answer:

A.

10\,\text{km}

and

40\,\text{km}

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