Question:medium

A man can row a boat in still water at the rate of 17 km/hr. He finds that it takes him thrice as long to row upstream of a river as to row downstream of the same river. The speed of of the stream is,

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Upstream speed is one third of downstream speed. Solve \(17 - s = \frac{17+s}{3}\).
Updated On: Oct 1, 2026
  • 15 km/hr
  • 11.5 km/hr
  • 8.5 km/hr
  • 6 km/hr
Show Solution

The Correct Option is C

Solution and Explanation

Step 1: Use the ratio of speeds.
Let the distance be \(d\). Time upstream is 3 times time downstream, so speed downstream : speed upstream = 3 : 1.
Let the upstream speed be $u$ and the downstream speed be $3u$.

Step 2: Use the still water speed.
Speed in still water is the average of the two speeds:
\[ \frac{3u + u}{2} = 17 \]
\[ 2u = 17 \]
\[ u = 8.5 \]

Step 3: Find the stream speed.
Stream speed is half the difference of the two speeds:
\[ \frac{3u - u}{2} = u = 8.5 \text{ km/hr} \]
So the stream speed equals the upstream speed here.

Step 4: Match with the options.
The value 8.5 km/hr is option 3. The other values 15, 11.5 and 6 do not give a 3 : 1 speed ratio, so they are not correct.

Final Answer:
The speed of the stream is 8.5 km/hr. \[ \boxed{8.5 \text{ km/hr}} \]
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