PRACTICE QUESTIONS COMPETITION WING

Two persons $A$ and $B$ move towards each other from $P$ and $Q$, respectively. They meet $50 \mathrm{kms}$ away from $Q$. If the ratio of the speeds of $A$ and $B$ is $4:1$, then find the distance between $P$ and $Q$.

Two trains $150 \mathrm{m}$ long and $250 \mathrm{m}$ long are travelling at the speeds of $30 \mathrm{kmph}$ and $33 \mathrm{kmph}$, respectively, on parallel tracks in opposite direction. What is the time taken by these trains to cross each other completely from the moment they meet?

A person takes $1 \mathrm{h}$ more than his friend to reach a party. The distance travelled by the person is $20 \mathrm{km}$ more than his friend. Also given that the speed of the person is $16 \mathrm{km}/\mathrm{h}$, whereas that of his friend is $15 \mathrm{km}/\mathrm{h}$, find the distance travelled by his friend to reach the party.

Travelling at $\frac{4}{5}\mathrm{th}$ of his usual speed, a man is $15 \min$ late. What is his usual time to cover the same distance?

The average of the speed of the boat upstream and the speed of the boat downstream is equal to the:

A man can swim downstream at $10 \mathrm{km}/\mathrm{hr}$ and upstream at $4 \mathrm{km}/\mathrm{hr}$. Find the speed of the man in still water and the speed of the current, respectively.

The speed of a boat upstream is $12 \mathrm{km}/\mathrm{h}$. If it can travel a distance of $42 \mathrm{km}$ downstream is $3 \mathrm{h}$, then the speed of the current is:

A car covers $300 \mathrm{km}$ at a constant speed. If its speed was $10 \mathrm{kmph}$ more, it would have taken $1 \mathrm{h}$ less to travel the same distance. Find the speed of the car.