Question

A walks 10m from his initial position toward east and 5m north, now he moves 5m towards west and 5m north and finally 5m towards west. What is the distance between initial and final positions?

• A. $5$ metres
• B. $10$ metres
• C. $15$ metres
• D. $20$ metres

Answer 1

The correct option is B $10$ metres

Let us consider a Cartesian plane thinking positive X-axis as East; negative one as West; positive Y-axis as North; negative as South.

Here A walks 10m from his initial position toward east and 5m north, assuming that he was initially at origin (0,0) then later moved to co-ordinate (10,5).

Now he moves 5m towards west and 5m north from (10,5), so the new position is (5,10)

Now he moves 5 m towards west, so the final co-ordinates are (0,10)

Therefore the distance between initial and final positions is 10 m.

Hence, option B.