# 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?

**Solution:**

Let's assume the distance at point A to be 0 km.

Distance travelled by Rita towards east = 20 km (distance travelled towards the east is represented by a positive integer)

Distance travelled by Rita towards west = - 30 km (distance travelled towards the west is represented by a negative integer)

Final position of Rita from A = [20 + (-30)] km

= (20 - 30) km

= -10 km

Therefore, we will represent her final position from A by a negative integer, that is, -10.

**ā Check: **NCERT Solutions Class 7 Maths Chapter 1

**Video Solution:**

## 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?

NCERT Solutions Class 7 Maths Chapter 1 Exercise 1.1 Question 6

**Summary:**

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, then the distance travelled towards the west will be represented by a negative integer. The final position of Rita from A can be represented by a negative integer -10.

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