Ravi, who lives in the countryside, caught a train for home earlier than usual yesterday. His wife normally drives to the station to meet him. But yesterday he set out on foot from the station to meet his wife on the way. He reached home $12 \mathrm{minutes}$ earlier than he would have done had he waited at the station for his wife. The car at a uniform speed, which travels at a is $5$times Ravi’s speed on foot. Ravi reached home at exactly $6$O’clock. At what time would he have. Reached home if his wife, forewarned of his plan, had met him at the station?

Rahim sets out to cross a forest. On the first day, he completes $1/10\mathrm{th}$ of the journey. On the second day, he covers $2/3\mathrm{rd}$ of the distance traveled the first day.

He continues in this manner, alternating the days in which he travels 1/10th of the distance still to be covered, with days on which he travels $2/3$ of the total distance already covered. At the end of the seventh day, he finds that $227$km more will see the end of his journey. How wide is the forest?

The metro service has a train going from Mumbai to Pune and Pune to Mumbai every hour, the first one at $6 \mathrm{a}.\mathrm{m}.$ The trip from one city to another takes $4 \mathrm{hours}$, and all trains travel at the same speed. How many trains will you pass while going from Mumbai to Pune if you start at $12$ noon?