A man can row the boat at $5$ km/hr in still water. If the velocity of the current is $1$ km/hr and it takes him $1$ hour to row to a place and come back, how far is the place ?

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Solution

The correct option is B $2.4$ km
Let the distance of the destination be $x$ km.
Speed of boat downstream $= (5 + 1)$ km/hr $= 6$ km/hr
Speed of boat upstream $= (5 - 1) = 4$ km/hr
Then, $\frac{x}{6} + \frac{x}{4} = 1$
$\Rightarrow \frac{2 x + 3 x}{12} = 1$
$\Rightarrow x = \frac{12}{5} = 2.4$ km

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A man can row the boat at 5 km/hr in still water. If the velocity of the current is 1 km/hr and it takes him 1 hour to row to a place and come back, how far is the place ?

The correct option is B 2.4 kmLet the distance of the destination be x km.Speed of boat downstream =(5+1) km/hr =6 km/hrSpeed of boat upstream =(5−1)=4 km/hrThen, x6+x4=1 ⇒2x+3x12=1⇒x=125=2.4 km

A man can row the boat at $5$ km/hr in still water. If the velocity of the current is $1$ km/hr and it takes him $1$ hour to row to a place and come back, how far is the place ?

The correct option is B $2.4$ km
Let the distance of the destination be $x$ km.
Speed of boat downstream $= (5 + 1)$ km/hr $= 6$ km/hr
Speed of boat upstream $= (5 - 1) = 4$ km/hr
Then, $\frac{x}{6} + \frac{x}{4} = 1$
$\Rightarrow \frac{2 x + 3 x}{12} = 1$
$\Rightarrow x = \frac{12}{5} = 2.4$ km