A man is crossing a river flowing with velocity of $5\, m/s$. He reaches a point directly across at a distance of $60\, m$ in $5\, sec$. His velocity in still water should be........$m/s$

A bus appears to go with a speed of $25 \,km / hr$ to a car driver, driving at the rate $7 \,km / hr$ northwards. If the bus actually travels in east direction, its speed is ......... $km / h$

Two particles $P_1$ and $P_2$ are moving with velocities $v_1$ and $v_2$ respectively. Which of the statement about their relative velocity $v_{12}$ is true?

Figure shows two ships moving in $x-y$ plane with velocities $V_A$ and $V_B$. The ships move such that $B$ always remains north of $A$. The ratio $\frac{V_A}{V_B}$ is equal to ........

A butterfly is flying with a velocity $4 \sqrt{2} \,{m} / {s}$ in North-East direction. Wind is slowly blowing at $1$ ${m} / {s}$ from North to South. The resultant displacement of the butterfly in $3\, seconds$ 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.......$km/hr$