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A motor boat whose speed is 18km/h in still water takes 1 hour more to go 24km upstream than
to return downstream to the same spot. Find the speed of the stream.

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3 km/h

5 km/h

6 km/h

2 km/h

answer is C.

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Detailed Solution

Concept- Use this information that the speed of a boat in still water differs from the speed of a stream and that the speed of a boat in still water is added to the speed of a stream downstream. Then, find the answer by using the formula:

In this question, we have been given:
Speed of boat

Distance

Let us consider x to be the speed of the stream.
And t1 and t2 are the time for upstream and downstream.
As we know that,

For upstream, the parameters are given as:
Question Image

Thus, we get

For downstream, the parameters are given as:
Question Image

Thus, we get

Now as per the question-
Question Image

As the speed cannot be negative, so the value of x is 6.
As a result, the speed of the stream is 6km/h.
Hence, the correct answer is option 3.

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