Discussion
A boat goes 24 km downstream in 10 hours, it takes 2 hours more to cover the same distance against the stream. What is the speed of the boat in still water?
Answer: D
With \( b \) the still-water speed and \( r \) the stream's,
\[ \text{downstream} = b + r, \qquad \text{upstream} = b - r \]
The upstream trip takes 2 hours more, so 12 hours in all.
\[ b + r = \frac{24}{10} = 2.4 \text{ km/hr}, \qquad b - r = \frac{24}{12} = 2 \text{ km/hr} \]
\[ b = \frac{2.4 + 2}{2} = 2.2 \text{ km/hr} \]
2.2 km/hr is not offered, so the answer is none of these. The current works out at a modest 0.2 km/hr.
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