The sum of the speed of the boat A downstream and the speed of the boat B upstream is 27km/h. If the speed of boat A in still water is 3km/h less than that of boat B, what is the respective ratio between the speed of boat A in still water and that of boat B in still water? (Considering the speed of current to be constant)
Let speed of boat A in still water = $$x$$ kmph
=> Speed of boat B in still water = $$(x + 3)$$ kmph
Let speed of current = $$y$$ kmph
Acc to ques,
=> $$(x + y) + (x + 3 - y) = 27$$
=> $$2x = 27 - 3 = 24$$
=> $$x = \frac{24}{2} = 12$$ kmph
Speed of B = 12 + 3 = 15 kmph
$$\therefore$$ Required ratio = 12 : 15
= 4 : 5
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