Question

Rita goes $20km$ towards east from point $A$ to point $B$. She moves $30km$ towards the west from $B$ along the same road. If the distance toward the east is represented by a positive integer then, how will you describe the distance traveled toward the west? By which integer will you represent her final position from $A$?

Answer 1

Number line :

From the given details we get to know that

A positive integer denotes the distance towards the east

The distance traveled towards the west will be denoted by a negative integer.

Distance travelled in east direction $=20km$

Distance travelled in west direction$=-30km$

Distance travelled from A $=20+(-30)=-10km$

Therefore,

We will denote the distance traveled by Rita from point A by a negative integer, i.e., $\mathbf{-}\mathbf{10}\mathbf{}\mathit{k}\mathit{m}$ . Rita is now in the west direction.

Hence, $\mathbf{-}\mathbf{10}$ represent her final position from $A$