Question 1173834
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The combined rate of work is  {{{1/55}}} + {{{1/66}}}  of the job per minute


    {{{1/55}}} + {{{1/66}}}  = {{{(1/11)*(1/5 + 1/6)}}} = {{{(1/11)*(6/30 + 5/30)}}} = {{{(1/11)*(11/30)}}} = {{{1/30}}}.


Hence, the entire job will be completed in 30 minutes, with both machines working together.    <U>ANSWER</U>
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Solved.