Time, Speed and Distance

A man can row $\displaystyle 9\frac{1}{3}$ kmph in still water and finds that it takes him thrice as much time to row up than as to row down the same distance in the river. Find the speed of the current in kmph.

Two cars are moving with speed of $15\ km/ hr$ and $18\ km/hr$. Find the distance between after $2\ hrs$ them if they are moving in same direction

Two cyclists start cycling from a point at a speed of $3\ km/hr$ and $5\ km/hr$. Find the distance between them after $3\ hrs$, if they are cycling in opposite direction

Two people are running from the same place at speed of $3\ km/hr$ and $2\ km/hr$. Find the distance between them after $10\ minutes$ if they move in the same direction

A man starts from B to K, another from K to B at the same time. after passing each other they complete their journey in $\displaystyle 3\frac { 1 }{ 3 } $ and $\displaystyle 4\frac { 4 }{ 5 } $ hours respectively. Find the speed of the second man if the speed of the first is $12$ km/h ?

Sujal covers a distance in $40$ min, if she drives at a speed of $60$ km/h on an average . Find the speed at which she must drive at to reduce the time of the journey by $25\%$.

Two boys $A$ and $B$ start at the same time to ride from Delhi to Palwal, $60\ km$ away. A travels $4\ km$ an hour slower than $B$. $B$ reaches Palwal and at once turns back meeting $A\ 12\ km$ from Palwal. The rate of speed of $A$ was

A man starts from his home towards his office at a speed of $5$ m/s. After every $10$ minutes, he increases his speed by $5$ m/s and thus reaches his office after $1$ hour. What is the distance between his home and his office?

An athlete runs $300$ metres up a hill at a steady speed of $3.0$ m/s. She then immediately runs the same distance down the hill at a steady speed of $6.0$ m/s. What is her average speed for the $600$ metre run?

Two cars $A$ and $B$ are moving in same direction. Car $A$ is moving with speed $10\ m/s$ and at a distance $80\ m$ behind car $B$ which starts from rest and with uniform acceleration $a_{o}$. The maximum value of $a_{o}$ for which car $A$ can reach bar $B$

A car A travelling on a straight level road with a uniform speed of $60 km/h$ . it is followed by another car B which is moving with a speed of $70 km/h$, when the distance between them is $2.5 km$, the car B is given a deceleration of $ 20 km /h^2 $ . after how much time will B catch up with A .

A vehicle moving with speed $30\ km/h$ on a straight road can be stopped in $6\ m$ distance by applying brakes. If same vehicle is moving with $60\ km/h$ and brakes provide double retardation then vehicle will stop after travelling :

A body is moving with a speed of $1$ m/s and a constant force $F$ is needed to stop it in a distance $x$. If the speed of the body is $3$ m/s the force needed to stop it in the same distance $x$ will be :

During its motion along a $30 km$ path, a car takes $10 min$ to cover first $10 km$, $15 min$ to cover next $10 km$ and $20 min$ to cover the rest of the distance. So, the body moves with: