Question 1002869
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All of the responses you have received so far use the same formal algebraic method that is found in most textbooks, using fractions of the job performed by each worker each minute.<br>
Here is a less formal way of solving this kind of problem; this method can be a lot faster than the formal algebraic method, especially if the numbers are "nice".<br>
Consider the least common multiple of the two given times, which is 90 minutes.  In 90 minutes...
the number of chairs Kimberly can paint is 90/45 = 2
the number of chairs Arthur can paint is 90/3 = 3
the number of chairs they can paint together is 2+3 = 5<br>
They can paint 5 chairs in 90 minutes, so the number of minutes it takes them to paint each chair is 90/5 = 18.<br>
So the time required for them to paint 6 chairs is 18*5 = 108 minutes<br>
ANSWER: 108 minutes<br>