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Rita goes 20 km towards east from a point A to the point B. From B, she moves 30 km towards west along the same road. If the distance towards east is represented by a positive integer then, how will you represent the distance travelled towards west? By which integer will you represent her final position from A?
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Given:
Rita goes \( 20 \mathrm{~km} \) towards the east from point \( A \) to point \( B \). From B she moves \( 30 \mathrm{~km} \) towards the west along the same road.
The distance towards the east is represented by a positive integer.
To do:
We have to find the final position from A.
Solution:
Distance towards the east is represented by a positive integer.
West is opposite to east.
This implies,
The distance in the direction of the west will be represented by a negative integer.
Rita goes \( 20 \mathrm{~km} \) towards the east from point \( A \) to point \( B \).
Let us consider $A$ as $0$.
Her position now is $+20$ km.
From B she moves \( 30 \mathrm{~km} \) towards the west along the same road.
Final position of Rita $=+20+(-30)$
$=20-30$
$=-10$ km
Therefore, the final position of Rita is $10\ km$ West of $A$.