Question
A boat has a speed of 30 km/h in still water. When the
boat travels downstream in a stream, its speed increases by 50% compared to when it moves upstream. Determine the speed of the stream.Solution
Let the speed of the stream = 'k' km/h Then, upstream and downstream, speed of the boat are (30 - k) km/h and (30 + k) km/h, respectively According to the question, 30 + k = (30 - k) X 1.5 Or, 30 + k = 45 - 1.5k Or, 2.5k = 15 So, k = 6 Therefore, speed of the stream = 6 km/h
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