Discussion
A man rows to a place 48 km away and back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against it. What is the speed of the stream ?
Answer: B
Correct answer: 1 km/hr
Equal times over 4 km downstream and 3 km upstream give \(\tfrac{4}{d} = \tfrac{3}{u}\), so \(u = \tfrac{3d}{4}\).
\[\frac{48}{d} + \frac{48}{u} = 14 \quad\Longrightarrow\quad \frac{48}{d} + \frac{64}{d} = 14 \quad\Longrightarrow\quad \frac{112}{d} = 14\]
So \(d = 8\) and \(u = 6\), giving \(s = \tfrac{8-6}{2} = 1\) km/hr.
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