Question 1008104
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The rate of Hanna is {{{1/3}}} of the office area per hour.
In other words, Hanna is cleaning {{{1/3}}} of the office area per hour.

The rate of Lindsay is {{{1/2}}} of the office area per hour.
In other words, Lindsay is cleaning {{{1/2}}} of the office area per hour.

Working together, they are cleaning {{{1/3}}} + {{{1/2}}} = {{{2/6}}} + {{{3/6}}} = {{{5/6}}} of the office area per hour.

Hence, it will take {{{6/5}}} of hour (or 1 hour and 12 minutes) for Hanna and Lindsay to clean the office if they work together.

For more solved problems on joint work see the lesson <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> in this site.
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