In a race, Raju gives Ram a head start of $150$ metres and still beats him by $50$ metres. If the length of the race is reduced to half of its original value and raju still gives ram a the headstart of $150$ meters this time ram beats raju by $60$ meters, then find the original length of the race track.

A man covers a certain distance in 10 minutes with the speed of 15km/hr. If he wants to cover the same distance in 7 minutes, then what should be his speed?

Two trains are running opposite each other. Speeds of both trains are $112 km/hr$ and $115 km/hr$. Find the relative speed of both trains with respect to each other. 

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. $47.20$

 A van covers $25 km$ at the rate of $20 kmph$ and again a distance of $80 km$ at the rate of $25 kmph$. Find the average speed of the van (in $kmph$) for the whole journey. 

Find the speed of the bike in m/sec which covers a distance of $4\times {10}^4$ m in ${10}^{-2}$ seconds.

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