From the original position given in the above figure,$A$ and $B$ move one arm length clockwise and then cross over to the corner diagonally opposite; $C$ and $D$ move one arm length anti-clockwise and cross over the corner diagonally opposite. The original configuration $ADBC$ has now changed to

Gaurav walks $20 \, m$ towards North. He then turns left and walks $40 \, m$. He again turns left and walks $20 \, m$. Further,he moves $20 \, m$ after turning to the right. How far is he from his original position (in $, m$)?

In the given figure,$P$ is $300 \, km$ eastward of $O$ and $Q$ is $400 \, km$ north of $O$. $R$ is exactly in the middle of $Q$ and $P$. The distance between $Q$ and $R$ is (in $, km$)

Satheesh left for his office in his car. He drove $15 \, km$ towards north and then $10 \, km$ towards west. He then turned to the south and covered $5 \, km$. Further,he turned to the east and moved $8 \, km$. Finally,he turned right and drove $10 \, km$. How far and in which direction is he from his starting point?

One day,Ravi left home and cycled $10 \,km$ southwards,turned right and cycled $5 \,km$,turned right and cycled $10 \,km$,and finally turned left and cycled $10 \,km$. How many kilometres will he have to cycle to reach his home straight? (in $km$)

$A$ postman was returning to the post office which was in front of him to the north. When the post office was $100 \, m$ away from him,he turned to the left and moved $50 \, m$ to deliver the last letter at Shantivilla. He then moved in the same direction for $40 \, m$,turned to his right and moved $100 \, m$. How many metres was he away from the post office? (in $m$)