# Ex.1.1 Q6 Integers - NCERT Maths Class 7

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## Question

Rita goes $$20\rm\, km$$ towards east from a point $$A$$ to the point $$B.$$ From $$B$$ she moves $$30\rm\, km$$ 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 $$A?$$

Video Solution
Integers
Ex 1.1 | Question 6

## Text Solution

What is known?

Distance travelled by Rita towards east from point $$A$$ and towards west from point $$B$$.

What is the unknown?

Final position of Rita from $$A$$

Reasoning:

Distance travelled towards east from point $$A$$ (or the highest positive value of the integer) and Distance travelled towards west from point $$B$$ (or the lowest negative value of the integer). Find the difference between the two values.

Steps:

Distance travelled by Rita towards east $$= 20\rm\,km$$

(distance travelled towards east is represented by positive integer)

Distance travelled by Rita towards west $$=\, – \,30\rm\,km$$

(distance travelled towards west is represented by negative integer)

Final position of Rita from A

\begin{align} &=[20 +(-30)]\rm{\,km}\\&= (20-30)\rm{km}\\&= -10\rm{\,km}\end{align}

Therefore, we will represent her final position from $$A$$ by negative integer i.e. $$–10\rm\,km.$$

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