A time of 12 hours is taken for Jennifer and Janice to work 120 masks together.
Dimensionally speaking, production function ([tex]p[/tex]), in masks, is the product of production rate ([tex]r[/tex]), in masks per hour, and production time ([tex]t[/tex]), in hours. According to the statement, the production total ([tex]T[/tex]) is the sum of the production functions of Jennifer and Janice, that is:
[tex]T = p_{1} + p_{2}[/tex]
[tex]T = (r_{1} + r_{2})\cdot t[/tex] (1)
Where:
Now we determine how many time they need to work 120 masks together: ([tex]T = 120[/tex], [tex]r_{1} = 6[/tex], [tex]r_{2} = 4[/tex])
[tex]t = \frac{T}{r_{1}+r_{2}}[/tex]
[tex]t = 12\,h[/tex]
A time of 12 hours is taken for Jennifer and Janice to work 120 masks together. [tex]\blacksquare[/tex]
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