Rekha can row her boat at the speed of $5$ km/hr in still water. If it takes one hour more to row the boat $5.25$ km upstream than to return downstream. Find the speed of the stream.

9

km/hr

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5

km/hr

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2

km/hr

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none of these

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Solution

The correct option is C $2$ km/hr
$(\frac{5.25}{5 - x}) = (\frac{5.25}{5 + x}) + 1 5.25 (\frac{5 + x - 5 + x}{25 - x^{2}}) o r 10.5 x = 25 - x^{2} o r x^{2} - 10.5 x - 25 = 0 ∴ x = 2 K m / h r$

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Rekha can row her boat at the speed of 5 km/hr in still water. If it takes one hour more to row the boat 5.25 km upstream than to return downstream. Find the speed of the stream.

The correct option is C 2 km/hr(5.255−x)=(5.255+x)+15.25(5+x−5+x25−x2)or10.5x=25−x2orx2−10.5x−25=0∴x=2Km/hr

Rekha can row her boat at the speed of $5$ km/hr in still water. If it takes one hour more to row the boat $5.25$ km upstream than to return downstream. Find the speed of the stream.

The correct option is C $2$ km/hr
$(\frac{5.25}{5 - x}) = (\frac{5.25}{5 + x}) + 1 5.25 (\frac{5 + x - 5 + x}{25 - x^{2}}) o r 10.5 x = 25 - x^{2} o r x^{2} - 10.5 x - 25 = 0 ∴ x = 2 K m / h r$