Question 1115558
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<pre>
1.  From the condition, the first painter makes  {{{1/15}}}  of the job per day.

    The second makes {{{1/10}}}  of the job per day.


    Hence, working together, they make  {{{1/15 + 1/10}}} = {{{2/30 + 3/30}}} = {{{5/30}}} = {{{1/6}}}  of the job per day.

    It is their combined rate of work.



2.  Working for 3 days, the first painter made  {{{3/15}}} = {{{1/5}}} of the job.

    Hence,  {{{4/5}}} of the job remained.



3.  Thus the two, working together, must complete  {{{4/5}}} of the job.

    Since their combined rate of work is  {{{1/5}}} of the whole work per day,
    it will take them   {{{((4/5))/((1/6))}}} = {{{(6*4)/5}}} = {{{24/5}}} of the day = {{{4}}}{{{4/5}}} days = 4.8 days.
</pre>

<U>Answer</U>.  &nbsp;The schedule is this:  &nbsp;first painter works 3 days, &nbsp;and then the two work together for &nbsp;4.8 days.



Solved.