Question
A motorboat completes 36 km upstream and 96 km downstream together in 7 hours. If its speed in still water is 12 km/h more than the stream, determine the stream speed.
Solution
Let the speed of the stream = x And the speed of the boat in still water = x + 12 36/(x + 12 − x) + 96/(x + 12 + x) = 7 36/12 + 96/(2x + 12) = 7 3 + 96/(2x + 12) = 7 96/(2x + 12) = 4 2x + 12 = 96/4 2x + 12 = 24 2x = 12 x = 6 The speed of the stream = 6 km/hr
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