PRACTICE QUESTIONS CLASSROOM WING

How long does a train $300 \mathrm{m}$ long travelling at a speed of $54 \mathrm{km}/\mathrm{h}$ take to cross a pole?
 

What time does a train $200 \mathrm{m}$ long take to cross a bridge $800 \mathrm{m}$ long, if the train is travelling at a speed of $72 \mathrm{km}/\mathrm{h}$? 

An employee, travelling at $20 \mathrm{km}/\mathrm{h}$, reaches his office half-an-hour late than the time he would take while travelling at $25 \mathrm{km}/\mathrm{h}$. Find the distance between his house and the office.

A thief is travelling at a speed of $90 \mathrm{km}/\mathrm{h}$ in a car, whereas a police man is chasing him in a jeep at the rate of $96 \mathrm{km}/\mathrm{h}$. If the distance between them is $5 \mathrm{km}$ at present, then what time will the police take to catch the thief?

If a person travels $60 \mathrm{km}$ at a speed of $30 \mathrm{km}/\mathrm{h}$ and the next $120 \mathrm{km}$ at a speed of $40 \mathrm{km}/\mathrm{h}$, then find the average speed of the person for the total journey.

A bus travelling at $45 \mathrm{km}/\mathrm{h}$ takes $3 \mathrm{h}$ more than that of another bus travelling at $60 \mathrm{km}/\mathrm{h}$ to cover the same distance. Then find the distance covered by each bus in this journey.

Two $A$ and $B$ are $500 \mathrm{km}$ away. If two buses each start from station $A$ and $B$ simultaneously travelling towards the other station with speeds $80 \mathrm{km}/\mathrm{h}$ and $90 \mathrm{km}/\mathrm{h}$, respectively, find the distance between the two buses exactly after $2 \mathrm{h}$.

Find the ratio of the times taken for a train $300 \mathrm{m}$ long and travelling at a speed of $63 \mathrm{km}/\mathrm{h}$ to cross a person travelling at a speed of $9 \mathrm{km}/\mathrm{h}$ in the opposite direction and to cross a bridge $400 \mathrm{m}$ long