Robert is travelling on his cycle and has calculated to reach point $A$ at $2$ P.M. If he travels at $10 \mathrm{kmph}$, he will reach there at $12$ noon if he travels at $15 \mathrm{kmph}$. At what speed must be travel to reach $A$ at $1$ P.M.?

It takes eight hours for a $600 km$ journey, if $120 km$ is done by train and the rest by car. It takes $20$ minutes more, if  $200 km$ is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:-