The width of river is 1 km. The velocity

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The width of river is $1\; km$. The velocity of boat is $5\; km/hr$. The boat covered the width of river with shortest will possible path in $15 \;min$. Then the velocity of river stream is

A

$\sqrt{29}$

B

$3$

C

$4$

D

$\sqrt{41}$

The width of river is $1\; km$. The velocity of boat is $5\; km/hr$. The boat covered the width of river with shortest will possible path in $15 \;min$. Then the velocity of river stream is

Net velocity of boat in river $=\sqrt{5^{2}-u^{2}}$

$t=\frac{distance}{velocity} \Rightarrow \frac{1}{4}=\frac{1}{\sqrt{5^{2}-u^{2}}} \Rightarrow u=3 k m h$