$A$ train running at the speed of $66 \, km/h$ crosses a signal pole in $18 \, seconds$. What is the length of the train (in $m$)?

$A$ man covers a certain distance by car driving at $70 \, km/hr$ and he returns to the starting point riding on a scooter at $55 \, km/hr$. Find his average speed for the whole journey in $km/hr$.

The call rate of a $SIM$ of Company $A$ is one paisa for every three seconds. Another $SIM$ of Company $B$ charges $45 \text{ paisa per minute}$. $A$ man talked for $591 \text{ seconds}$ from the $SIM$ of Company $A$ and $780 \text{ seconds}$ from the $SIM$ of Company $B$. What would be the total amount he spent? (in $Rs.$)

In a race of $800\, m,$ $A$ can beat $B$ by $40\, m$. In a race of $500\, m,$ $B$ can beat $C$ by $5\, m$. In a race of $200\, m,$ $A$ will beat $C$ by? (in $m$)

$A$ boy walking at a speed of $10\, km/hr$ reaches his school $15\, minutes$ late. Next time he increases his speed by $2\, km/hr$, but still he is late by $5\, minutes$. Find the distance of his school from his house (in $km$).

Buses start from a bus terminal with a speed of $20 \text{ km/h}$ at intervals of $10 \text{ mins}$. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at intervals of $8 \text{ mins}$? (in $\text{km/h}$)