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(B) Let the speed of the boat in still water be $u$ and the speed of the stream be $v$.The speed of the boat downstream is $u + v = \frac{12 	ext{ km

Vedclass · Accepted Answer

$I$ and either $II$ or $III$

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(B) Let the speed of the boat in still water be $u$ and the speed of the stream be $v$.The speed of the boat downstream is $u + v = \frac{12 	ext{ km}}{2 	ext{ h}} = 6 	ext{ km/h}$ (from statement $I$).The speed of the boat upstream is $u - v = \frac{12 	ext{ km}}{4 	ext{ h}} = 3 	ext{ km/h}$ (from statement $II$).From statement $III$,$v = \frac{u}{3}$.To find $u$,we can use statement $I$ and $II$:$u + v = 6$ and $u - v = 3$.Adding these equations: $2u = 9 \implies u = 4.5 	ext{ km/h}$.Alternatively,we can use statement $I$ and $III$:$u + v = 6$ and $v = \frac{u}{3}$.Substituting $v$ in the first equation: $u + \frac{u}{3} = 6 \implies \frac{4u}{3} = 6 \implies u = \frac{18}{4} = 4.5 	ext{ km/h}$.Thus,statement $I$ and either $II$ or $III$ are sufficient to answer the question.

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