$A$ $110 \text{ meters}$ long train passes a man walking at the speed of $6 \text{ km/h}$ against it in $6 \text{ seconds}$. The speed of the train in $\text{km/h}$ is:

The train fare between Patna and Munger for one adult is three times the train fare of one child. If the adult fare is $102$,what will be the total fare for $2$ adults and $3$ children for the same distance?

$A$ $570 \, m$ long train crosses a platform of equal length in $15 \, s$. What is the speed of the train in $m/s$?

$A$ train travels at $92.4 \, km/h$. How many metres will it travel in $10 \, minutes$?

The diameter of each wheel of a car is $70 \, cm$. If each wheel rotates $400 \, \text{times per minute}$, then the speed of the car (in $km/hr$) is $\left( \text{Take } \pi = \frac{22}{7} \right)$.

$A$ man starts running from point $P$ at $11:00$ $a.m.$ with a speed of $10 \, km/hr$. He runs for $2 \, hours$ and then takes a $1 \, hour$ rest. He continues this pattern until he is caught by another man who starts at $2:00 \, p.m.$ from point $P$ and runs non-stop at a speed of $15 \, km/hr$ toward the first man. At what time (in $p.m.$) will the first man be caught?