Question : A man can swim at a speed of 14 km/hr in still water. If he takes twice the time as long to swim opposite the flow of the river than with the flow of the river, find the rate of the stream in km/hr.
Option 1: $\frac{14}{5}$
Option 2: $\frac{11}{5}$
Option 3: $\frac{11}{4}$
Option 4: $\frac{14}{3}$
Correct Answer: $\frac{14}{3}$
Solution :
Let the rate of the stream as \(x\) km/hr.
When the man swims with the flow of the river, his effective speed is \(14 + x\) km/hr, and when he swims against the flow of the river, his effective speed is \(14 - x\) km/hr.
According to the question,
$⇒\frac{14 + x}{14 - x} = \frac{2}{1}$
$⇒14+x=28-2x$
$⇒3x=14$
$⇒x=\frac{14}{3}$
Hence, the correct answer is $\frac{14}{3}$.
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