Question 1140232
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<pre>
Let x = "how many minutes would be needed for 10 frogs to be able to eat 20 bugs".


The rate of eating is  {{{5/(5*5)}}}  in the first case, in terms of bugs per frog per minute.


In the second case, the rate of eating is  {{{20/(10*x)}}}.


These rates are assumed to be equal, so you get a proportion 


    {{{5/(5*5)}}} = {{{20/(10*x)}}},    or


    {{{1/5}}} = {{{2/x}}}.


From the last proportion,


    x = 5*2 = 10.


<U>ANSWER</U>.  10 minutes.
</pre>

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