Subject - Mathematics:

General

MCQ - 356-9088

Question:

A man can row a boat at the rate of 4 km/hour in still water. He takes thrice as much time in going 30 km upstream as in going 30 km downstream. Find the speed of the stream.

2 km/hour.
3 km/hour.
4 km/hour.
3 km/hour.

Correct Answer: A

Explanation:

Speed of boat in still water = 4 km/h
Let the speed of stream be 'x'
Therefore,
Speed of the boat upstream = Speed of boat in still water - Speed of stream = 4 - x
Speed of the boat downstream = Speed of boat in still water + Speed of stream = 4 + x
Time taken to go upstream

Time taken to go downstream

Given, time taken in upstream is thrice as in downstream

⇒ 4 + x = 12 - 3x
⇒ 4x = 8
⇒ x = 2
i.e. the speed of stream = x is 2 km/hour.

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