Laxman went $15 \, km$ to the west from my house,then turned left and walked $20 \, km$. He then turned east and walked $25 \, km$ and finally turning left,covered $20 \, km$. How far was he from my house? (in $\, km$)

$A$ boy rode his bicycle northwards,then turned left and rode $1 \, km$,and again turned left and rode $2 \, km$. He found himself exactly $1 \, km$ west of his starting point. How far did he ride northwards initially? (in $km$)

Sudheesh walked $10 \, m$ towards south. He turned left and walked $20 \, m$ and then moved to his right. Then he turned right and walked $20 \, m$. Finally he turned right and moved a distance of $10 \, m$. How far and in which direction is he from the starting point?

$A$ 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 $m$)

This year,Balu's birthday is on $27^{th}$ January,which is a Wednesday. Balu remembers that Mohan's birthday is exactly on the fifth Friday after his birthday. How much younger is Mohan than Balu?

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 $km$)