Question 1144501
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<pre>
Let x be the speed of the stream


Then  the speed rowing downstream is  (18+x) km/h, 

while the speed rowing   upstream is  (18-x) km/h.


The time rowing 14 kilometers downstream is  {{{14/(18+x)}}}  hours;

the time rowing 10 kilometers  upstream is  {{{10/(18-x)}}}  hours.


It gives you the equation


    {{{14/(18+x)}}}  = {{{10/(18-x)}}}.


To solve it, multiply both sides by (18+x)*(18-x).  You will get


    14*(18-x) = 10*(18+x)

    14*18 - 14x = 10*18 + 10x

     14*18 - 10*18 = 10x + 14x

     4*18          = 24x

     x             = {{{(4*18)/24}}} = 3.


<U>ANSWER</U>.  The rate of the stream is 3 kilometers per hour.
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Solved.