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.


A) 50 km

B) 60 km

C) 70 km

D) 80 km

Correct Answer:
D) 80 km

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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