Ram drove the car at the speed of $40$ kmph from his home to office. While returning through the same route, he got stuck in traffic and took $45$ minutes more to reach home. He drove only at $32$ kmph. Find the distance between home and office

Gopal covers $100 \mathrm{km}$. He travels at a speed of $60 \mathrm{kmph}$ for the first $40 \mathrm{km}$ and the rest of the distance at $40 \mathrm{kmph}$. What is his average speed in $kmph$?

1. $44.20$
2. $45.20$
3. $46.20$
4. $47.20$

Ali travels a distance of $300 \mathrm{m}$ in $2$ minutes and $30$ seconds. What is his speed in $\mathrm{kmph}$?

The speeds of John and Max are $30 km/h$ and $40 km/h$. Initially, Max is at a place L and John is at a place M. The distance between L and M is $650 km$. John started his journey $3$ hours earlier than Max to meet each other. If they meet each other at a place P somewhere between L and M, then the distance between P and M is how much?

Train A, travelling at $\mathrm{S} \mathrm{m}/\mathrm{s}$, can cross a platform double its length in $21$ seconds. The same train, travelling at $\mathrm{S}+5 \mathrm{m}/\mathrm{s}$, can cross the same platform in $18$ seconds. What is the value of $\mathrm{S}$?