Question 1027995
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AZra can do a job in 4 hoursthat halycycon can do in 3 hours and silfer can do in 2 hours. If the three can work together, how many hours would they finish the job?
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Azra makes {{{1/4}}} of the job per hour.

Halycycon makes {{{1/3}}} of the job per hour.

Silfer makes {{{1/2}}} of the job per hour.

Working together they make {{{1/4 + 1/3 + 1/2}}} = {{{3/12 + 4/12 + 6/12}}} = {{{(3+4+6)/12}}} = {{{13/12}}} of the job per hour.

Hence, the three can make the job in {{{12/13}}} of an hour working together.
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See the lesson <A HREF=https://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> in this site for the variety of solved joint-work problems.
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