Anand: 10 km East to school, then 5 km South to father’s shop, then 10 km West to uncle. How far and in which direction is he from home now?

Introduction / Context:Add the axis moves to find the final displacement relative to home. East/West affect x; North/South affect y.

Given Data / Assumptions:

• East 10, then West 10 → x cancels to 0.
• South 5 → y = −5.

Concept / Approach:Net x = 0; net y = −5 means 5 km South of home. Direction asked relative to home, not facing.

Step-by-Step Solution:Compute x: +10 − 10 = 0.Compute y: −5 = 5 km South.Distance = 5 km; direction = South.

Verification / Alternative check:Sketching the path shows returning to the home meridian but below it.

Why Other Options Are Wrong:Any North/East/West answer contradicts the component totals.

Common Pitfalls:Reporting facing instead of position relative to home.

Final Answer:5 kms South