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Q.

The scale of a particle map is 1:100,000. On the map, the school is shown to be 2.5 cm away from Jatinder's house. How far is his house from the school? Express this answer in km.

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a

2.5 km

b

2.6 km

c

2.7 km

d

2.8 km

answer is A.

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Detailed Solution

Concept- In order to obtain the desired result, we must first determine the distance in kilometres between Jatinder's home and the school using the provided map.
In the particle map, one unit of distance corresponds to one million units of actual distance.
Let, x be the distance
1:100000 = 2.5 cm:x
x = 2.5

\times

100000
x= 2500000 cm
x= 2.5 km
Thus, Jatinder's home is 2.5 kilometres from the school.
Hence the correct answer is option 1.

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The scale of a particle map is 1:100,000. On the map, the school is shown to be 2.5 cm away from Jatinder's house. How far is his house from the school? Express this answer in km.