Discussion
A boat can travel with a speed of 16 km/hr in still water. If the rate of stream is 5 km/hr, then find the time taken by the boat to cover distance of 84 km downstream.
Answer: A
With \( b \) the still-water speed and \( r \) the stream's,
\[ \text{downstream} = b + r, \qquad \text{upstream} = b - r \]
\[ b + r = 16 + 5 = 21 \text{ km/hr} \]
\[ t = \frac{84}{21} = 4 \text{ hours} \]
Using the still-water speed of 16 km/hr would give 5.25 hours - the stream is helping, so the trip must take less than that.
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