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Question

The scale of a map is given as 1 : 5,00,00,000. When my movements are mapped onto the map, it is seen that I have moved 4 cm towards the north and then 5 cm towards the east. How much total distance have I travelled actually?

A
2000 km
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B
4500 km
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C
500 km
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D
2500 km
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Solution

The correct option is B 4500 km
According to the question, the total distance travelled on the map is 9 cm (4 cm north and 5 cm east).

Therefore, the equation formed using direct proportion from map and actual distance can be given as:
150000000=9x

x=45,00,00,000 cm

We know that,
1m = 100 cm
1km = 1000 m = 1000 x 100 cm = 100000 cm
= 4500 km

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