Work problems involve two or more people or machines (etc.) working either with or against one another to perform a task. Many books use a chart to organize information into an equation to solve this type of application problem. There is also a work formula. It may be easier to solve work problems with this formula.
The formula is simply, , where a and b are “working alone” times and T is the working together time.
Problem: Mateo can cut the yard in 8 hours, Chet can cut the yard in 14 hours, how long will it take to cut the yard if they work together?
Since 8 hours and 14 hours are working alone times, substitute these values into the formula for a and b. Solve for T.
… LCD (8, 14, T) = 56T … multiply all terms by 56T
7T + 4T = 56
11T = 56
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This page was edited on 19-Sep-2007