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A boat covers a certain distance downstream in 1 hour, while it comes back in 1$ \dfrac{1}{2} $ hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?

12 kmph
13 kmph
14 kmph
15 kmph
Explanation:

Let the speed of the boat in still water be $ $ kmph. Then,

Speed downstream = $ x $ + 3 kmph.

Speed upstream = $ x $ - 3 kmph.

$\therefore$ $ x $ + 3 x 1 = $ x $ - 3 x $ \dfrac{3}{2} $

$\Rightarrow$ 2$ x $ + 6 = 3$ x $ - 9

$\Rightarrow x $ = 15 kmph.

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