In a $500\, m$ race,the ratio of speeds of two contestants $A$ and $B$ is $3: 4$. $A$ has a start of $140\, m$. Then,$A$ wins by (in $m$)

In a game of $100$ points,$P$ can give $Q$ $10$ points and $R$ $28$ points. Then $Q$ can give $R$ (in points) how many points?

$A$ and $B$ run a $5\, km$ race on a round course of $400\, m$. If their speeds are in the ratio $5:4$,how often does the winner pass the other?

In a $100 \, m$ race,$A$ runs at $5 \, km/h$. $A$ gives $B$ a start of $8 \, m$ and still beats him by $8 \, s$. Find the speed of $B$ in $km/h$. (in $.14$)

$A$ and $B$ run a $1 \, km$ race. If $A$ gives $B$ a start of $50 \, m$,$A$ wins by $14 \, sec$. If $A$ gives $B$ a start of $22 \, sec$,$B$ wins by $20 \, m$. The time taken by $A$ to run a $1 \, km$ is (in $sec$):

$A$ can run $23\, m$,while $B$ runs $25\, m$. In a kilometre race,$B$ beats $A$ by (in $m$):