Question 1189223
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A duck travels from point A to point B. 
If the duck flies 3/4 of the way, walks 1/9 of the way, and swims the remaining 10 kilometers 
of her trip, what is the total distance in kilometers traveled by the duck?
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<pre>
The duck flies and walks, in total

    {{{3/4}}} + {{{1/9}}} = {{{(3*9)/36 + (1*4)/36)}}} = {{{(27+4)/36}}} = {{{31/36}}}  of the way.


Hence, the duck swims  {{{1 - 31/36}}} = {{{5/36}}}  of the way.


According to the problem,  {{{5/36}}}  of the way is  10 kilometers;

hence,  {{{1/36}}}  of the way is 2 kilometers.


It means that the entire way is 2*36 = 72 kilometers.    <U>ANSWER</U>
</pre>

Solved.