Shweta goes $ 20 \mathrm{~km} $ towards the east from point $ A $ to point $ B $. From B she moves $ 40 \mathrm{~km} $ towards the west along the same road. If distance towards the east is represented by a positive integer, by which integer will you represent her final position from A.

Given:

Shweta goes \( 20 \mathrm{~km} \) towards the east from point \( A \) to point \( B \). From B she moves \( 40 \mathrm{~km} \) towards the west along the same road. If 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 so distance in the direction of the west will be represented by a negative integer.

Shweta 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 \( 40 \mathrm{~km} \) towards the west along the same road. 

Final position of Shweta $=+20+(-40)=-20$ km

Therefore, the final position of Shweta is 20 km West of A. 

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Updated on: 10-Oct-2022

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