Aboat having a speed of $5\,\, km/hr$. in still water, crosses a river of width $1\,\, km$ along the shortest possible path in $15 \,\,minutes$. The speed of the river in $Km/hr.$
$1$
$3$
$4$
$\sqrt {41}$
The speed of a swimmer is $4\,km\,h ^{-1}$ in still water. If the swimmer makes his strokes normal to the flow of river of width $1\,km$, he reaches a point $750 \,m$ down the stream on the opposite bank.The speed of the river water is $.........km h ^{-1}$
Rain is falling vertically with a speed of $35 \;m s ^{-1} .$ Winds starts blowing after sometime with a speed of $12 \;m s ^{-1}$ in east to west direction. In which direction should a boy waiting at a bus stop hold his umbrella?
A boat covers certain distance between two spots in a river taking $t_1$ hrs going downstream and $t_2$ hrs going upstream. What time will be taken by boat to cover same distance in still water?
A swimmer can swim in still water with speed $v$ and the river is flowing with velocity $v/2$. To cross the river in shortest distance, he should swim making angle $\theta$ with the upstream. What is the ratio of the time taken to swim across the shortest time to that is swimming across over shortest distance
A man can swim with a speed of $4.0\; km/h$ in still water. How long does he take to cross a river $1.0\; km$ wide if the river flows steadily at $3.0\; km/h$ and he makes his strokes normal to the river current? How far down the river does he go when he reaches the other bank ?