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A boat is sent across a river with a velocity of $8 \mathrm{~km} / \mathrm{hr}$. If the resultant velocity of boat is $10 \mathrm{~km} / \mathrm{hr}$, then velocity of the river is :
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The correct answer is:
6 km/hr
Given $\overrightarrow{A B}=\text { Velocity of boat }=8 \mathrm{~km} / \mathrm{hr}$
$\overrightarrow{A C}=\text { Resultant velocity of }$
$\text {boat }=10 \mathrm{~km} / \mathrm{hr}$
$\overrightarrow{B C}=\text { Velocity of river }$
$=\sqrt{A C^2-A B^2}$
$=\sqrt{(10)^2-(8)^2}=6 \mathrm{~km} / \mathrm{hr}$
$\overrightarrow{A C}=\text { Resultant velocity of }$
$\text {boat }=10 \mathrm{~km} / \mathrm{hr}$
$\overrightarrow{B C}=\text { Velocity of river }$
$=\sqrt{A C^2-A B^2}$
$=\sqrt{(10)^2-(8)^2}=6 \mathrm{~km} / \mathrm{hr}$
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