Question
A boat travels 48 km against the current and 144 km with
the current in a total of 9 hours. If the speed of the boat in still water exceeds the stream speed by 16 km/h, find the stream speed.Solution
Let the speed of the stream = x And the speed of the boat in still water = x + 16 48/(x + 16 − x) + 144/(x + 16 + x) = 9 48/16 + 144/(2x + 16) = 9 3 + 144/(2x + 16) = 9 144/(2x + 16) = 6 2x + 16 = 144/6 2x + 16 = 24 2x = 8 x = 4 The speed of the stream = 4 km/hr
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