A boat covers 24km upstream and 36km downstream in 6hours while it covers 36km upstream and 24km downstream in 6(1)/(2) hours . The velocity (in kmph ) of the current is

Question

Quantrex Academy · Accepted Answer

Correct answer: 2

Let rate of upstream = x kmph and rate of downstream = y kmph.

Then,

\dfrac{24}{x} + \dfrac{36}{y} = 6 \ldots . ( i )

and

\dfrac{36}{x} + \dfrac{24}{y} = \dfrac{13}{2} \ldots . ( ii )

Solving (i) & (ii)

y = 12km{hr}^{- 1} and

x = 8km{hr}^{- 1}

<br /><br />

∴

Speed upstream = 8 kmph, Speed downstream = 12 kmph.<br /><br />Hence, rate of current

= \dfrac{1}{2}

\left(12 - 8\right)

kmph =

2kmph

.

A boat covers 24km upstream and 36km downstream in 6hours while it...

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