A boat takes $4$ hours for travelling downstream from point $A$ to point $B$ and coming back to point $A$ upstream. If the velocity of the stream is $2$ km/hr and the speed of the boat in still water is $4$ km/hr, what is the distance between $A$ and $B$ ?

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Solution

The correct option is C $6$ km
Speed of boat downstream $= (4 + 2)$ km/hr $= 6$ km/hr
Speed of boat upstream $= (4 - 2)$ km/hr $= 2$ km/hr
Let the distance between point $A$ and point $B$ be $x$ km
Then $\frac{x}{6} + \frac{x}{2} - 4$
$\Rightarrow \frac{x + 3 x}{6} = 4$
$\Rightarrow 4 x = 24$
$\Rightarrow x = 6$ km

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A boat takes 4 hours for travelling downstream from point A to point B and coming back to point A upstream. If the velocity of the stream is 2 km/hr and the speed of the boat in still water is 4 km/hr, what is the distance between A and B?

The correct option is C 6 km Speed of boat downstream =(4+2) km/hr =6 km/hrSpeed of boat upstream =(4−2) km/hr =2 km/hrLet the distance between point A and point B be x km Then x6+x2−4⇒x+3x6=4⇒4x=24⇒x=6 km

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