A girl standing at point $P$ on a beach wishes to reach a point $Q$ in the sea as quickly as possible. She can run at $6 \,kmh ^{-1}$ on the beach and swim at $4 \,kmh ^{-1}$ in the sea. She should take the path

A swimmer can swim with velocity of $12 \,km / h$ in still water. Water flowing in a river has velocity $6\, km / h$. The direction with respect to the direction of flow of river water he should swim in order to reach the point on the other bank just opposite to his starting point is ........$^{\circ}$. (Round off to the Nearest Integer) (find the angle in degree)

A ship $A$ is moving Westwards with a speed of $10\, km h^{-1}$ and a ship $B$ $100\;km$ South of $A$, is moving Northwards with a speed of $10\, km h^{-1}$ .The time after which the distance between them becomes shortest, is ........ $hr$

$A$ ship $X$ moving due north with speed $v$ observes that another ship $Y$ is moving due west with same speed $v$. The actual velocity of $Y$ is $........$.

A river is flowing with velocity $5\ km/hr$ as shown in the figure. A boat starts from $A$ and reaches the other bank by covering shortest possible distance . Velocity of boat in still water is $3\ km/ hr$. The distance boat covers is    ......... $m$

Two cars are moving in the same direction with the same speed $30 \,km/hr$. They are separated by a distance of $5\, km$, the speed of a car moving in the opposite direction if it meets these two cars at an interval of $4$ minutes, will be.......$km/hr$