Question 992156
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First painter paints  {{{1/5}}}  of the room in one day  (in each day,  per day).


The second painter paints  {{{1/6}}}  of the room in one day.


Working together they paint  {{{1/5}}} + {{{1/6}}}  of the room in one day  (per day).


{{{1/5}}} + {{{1/6}}} = {{{6/30}}} + {{{5/30}}} = {{{11/30}}}.


So,  working together,  they paint  {{{11/30}}}  of the room per day.


Hence,  it will take  {{{30/11}}}  for them to complete the job working together.


{{{30/11}}} = {{{2}}}{{{8/11}}}.


You may want to look in the lesson &nbsp;<A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Word-problems-WORKING-TOGETHER-by-Fractions.lesson>Using fractions to solve word problems on joint work</A>&nbsp; in this site where you will find many other solved problems on joint work.


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