A steamer goes downstream from one port to another in 4 h. It covers the same distance upstream in 5 h. If the speed of the stream is 2 km/h, then find the distance between the two ports.
Correct Answer: Description for Correct answer:
Let the distance between the two ports be x km.
Then, speed downstream = \( \Large \frac{x}{4} \)
And speed upstream = \( \Large \frac{x}{5} \)
Therefore, Speed of the stream = \( \Large \frac{1}{2} \) [speed downstream + Speed upstream]
= \( \Large \frac{1}{2} \left(\frac{x}{4}-\frac{x}{5}\right) \)
\( \Large \frac{1}{2} \left(\frac{5x-4x}{20}\right)=2 \)
\( \Large \frac{x}{40}=2 \) = 80 km
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